[go: up one dir, main page]

Search a number
-
+
1120130100 = 223352577719
BaseRepresentation
bin100001011000011…
…1101010000110100
32220001201111122000
41002300331100310
54243223130400
6303052135300
736520643265
oct10260752064
92801644560
101120130100
11525314361
12273167530
1314b0ab39b
14a8a9c96c
1568510600
hex42c3d434

1120130100 has 144 divisors (see below), whose sum is σ = 3612268800. Its totient is φ = 297768960.

The previous prime is 1120130093. The next prime is 1120130113. The reversal of 1120130100 is 10310211.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1557541 + ... + 1558259.

It is an arithmetic number, because the mean of its divisors is an integer number (25085200).

Almost surely, 21120130100 is an apocalyptic number.

1120130100 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 1120130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806134400).

1120130100 is an abundant number, since it is smaller than the sum of its proper divisors (2492138700).

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

1120130100 is a wasteful number, since it uses less digits than its factorization.

1120130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1120130100 is about 33468.3447454457. The cubic root of 1120130100 is about 1038.5390297349.

Adding to 1120130100 its reverse (10310211), we get a palindrome (1130440311).

The spelling of 1120130100 in words is "one billion, one hundred twenty million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 577 675 719 900 1154 1350 1438 1731 2157 2308 2700 2876 2885 3462 3595 4314 5193 5770 6471 6924 7190 8628 8655 10386 10785 11540 12942 14380 14425 15579 17310 17975 19413 20772 21570 25884 25965 28850 31158 32355 34620 35950 38826 43140 43275 51930 53925 57700 62316 64710 71900 77652 77895 86550 97065 103860 107850 129420 129825 155790 161775 173100 194130 215700 259650 311580 323550 388260 389475 414863 485325 519300 647100 778950 829726 970650 1244589 1557900 1659452 1941300 2074315 2489178 3733767 4148630 4978356 6222945 7467534 8297260 10371575 11201301 12445890 14935068 18668835 20743150 22402602 24891780 31114725 37337670 41486300 44805204 56006505 62229450 74675340 93344175 112013010 124458900 186688350 224026020 280032525 373376700 560065050 1120130100