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10024113120 = 253572983367
BaseRepresentation
bin10010101010111101…
…11101001111100000
3221212121010201002220
421111132331033200
5131012133104440
64334403311040
7503256361410
oct112536751740
927777121086
1010024113120
11428439460a
121b3907b480
13c399b0aa8
146b143c640
153da0728d0
hex2557bd3e0

10024113120 has 96 divisors (see below), whose sum is σ = 36086819328. Its totient is φ = 2291225088.

The previous prime is 10024113107. The next prime is 10024113137. The reversal of 10024113120 is 2131142001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×100241131202 (a number of 21 digits) 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 10024113120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1488324 + ... + 1495043.

It is an arithmetic number, because the mean of its divisors is an integer number (375904368).

Almost surely, 210024113120 is an apocalyptic number.

10024113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024113120 is an abundant number, since it is smaller than the sum of its proper divisors (26062706208).

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

10024113120 is a wasteful number, since it uses less digits than its factorization.

10024113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983392 (or 2983384 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10024113120 its reverse (2131142001), we get a palindrome (12155255121).

The spelling of 10024113120 in words is "ten billion, twenty-four million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 2983367 5966734 8950101 11933468 14916835 17900202 20883569 23866936 29833670 35800404 41767138 44750505 47733872 59667340 62650707 71600808 83534276 89501010 95467744 104417845 119334680 125301414 143201616 167068552 179002020 208835690 238669360 250602828 286403232 313253535 334137104 358004040 417671380 477338720 501205656 626507070 668274208 716008080 835342760 1002411312 1253014140 1432016160 1670685520 2004822624 2506028280 3341371040 5012056560 10024113120