[go: up one dir, main page]

Search a number
-
+
1105043100 = 223527310739
BaseRepresentation
bin100000111011101…
…1001111010011100
32212000100000011020
41001313121322130
54230342334400
6301352524140
736245466000
oct10167317234
92760300136
101105043100
1151784a267
1226a0b0650
13147c28275
14a6a92700
15670302a0
hex41dd9e9c

1105043100 has 144 divisors (see below), whose sum is σ = 3728928000. Its totient is φ = 252557760.

The previous prime is 1105043089. The next prime is 1105043117. The reversal of 1105043100 is 13405011.

1105043100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11050431002 = 2442240505715220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1105043100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97531 + ... + 108269.

Almost surely, 21105043100 is an apocalyptic number.

1105043100 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 1105043100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864464000).

1105043100 is an abundant number, since it is smaller than the sum of its proper divisors (2623884900).

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

1105043100 is a wasteful number, since it uses less digits than its factorization.

1105043100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10777 (or 10756 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1105043100 is about 33242.1885561104. The cubic root of 1105043100 is about 1033.8552537427.

Adding to 1105043100 its reverse (13405011), we get a palindrome (1118448111).

The spelling of 1105043100 in words is "one billion, one hundred five million, forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 343 350 420 490 525 588 686 700 735 980 1029 1050 1225 1372 1470 1715 2058 2100 2450 2940 3430 3675 4116 4900 5145 6860 7350 8575 10290 10739 14700 17150 20580 21478 25725 32217 34300 42956 51450 53695 64434 75173 102900 107390 128868 150346 161085 214780 225519 268475 300692 322170 375865 451038 526211 536950 644340 751730 805425 902076 1052422 1073900 1127595 1503460 1578633 1610850 1879325 2104844 2255190 2631055 3157266 3221700 3683477 3758650 4510380 5262110 5637975 6314532 7366954 7517300 7893165 10524220 11050431 11275950 13155275 14733908 15786330 18417385 22100862 22551900 26310550 31572660 36834770 39465825 44201724 52621100 55252155 73669540 78931650 92086925 110504310 157863300 184173850 221008620 276260775 368347700 552521550 1105043100