[go: up one dir, main page]

Search a number
-
+
1110215120 = 245729137499
BaseRepresentation
bin100001000101100…
…1000100111010000
32212101001202211112
41002023020213100
54233203340440
6302055432452
736340446530
oct10213104720
92771052745
101110215120
1151a762063
1226b985728
13149019431
14a763b4c0
1567702965
hex422c89d0

1110215120 has 160 divisors (see below), whose sum is σ = 3080160000. Its totient is φ = 364105728.

The previous prime is 1110215111. The next prime is 1110215167. The reversal of 1110215120 is 215120111.

It is a super-2 number, since 2×11102151202 = 2465155225353228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1110215095 and 1110215104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2224631 + ... + 2225129.

It is an arithmetic number, because the mean of its divisors is an integer number (19251000).

Almost surely, 21110215120 is an apocalyptic number.

1110215120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110215120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540080000).

1110215120 is an abundant number, since it is smaller than the sum of its proper divisors (1969944880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1110215120 is a wasteful number, since it uses less digits than its factorization.

1110215120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 14.

The square root of 1110215120 is about 33319.8907561234. The cubic root of 1110215120 is about 1035.4656885126.

Adding to 1110215120 its reverse (215120111), we get a palindrome (1325335231).

The spelling of 1110215120 in words is "one billion, one hundred ten million, two hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 137 140 145 203 232 274 280 290 406 464 499 548 560 580 685 812 959 998 1015 1096 1160 1370 1624 1918 1996 2030 2192 2320 2495 2740 3248 3493 3836 3973 3992 4060 4795 4990 5480 6986 7672 7946 7984 8120 9590 9980 10960 13972 14471 15344 15892 16240 17465 19180 19865 19960 27811 27944 28942 31784 34930 38360 39730 39920 55622 55888 57884 63568 68363 69860 72355 76720 79460 101297 111244 115768 136726 139055 139720 144710 158920 202594 222488 231536 273452 278110 279440 289420 317840 341815 405188 444976 478541 506485 546904 556220 578840 683630 810376 957082 1012970 1093808 1112440 1157680 1367260 1620752 1914164 1982527 2025940 2224880 2392705 2734520 3828328 3965054 4051880 4785410 5469040 7656656 7930108 8103760 9570820 9912635 13877689 15860216 19141640 19825270 27755378 31720432 38283280 39650540 55510756 69388445 79301080 111021512 138776890 158602160 222043024 277553780 555107560 1110215120