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102232024128 = 2633134550927
BaseRepresentation
bin101111100110110000…
…0001110010001000000
3100202212201120220202000
41133031200032101000
53133332344233003
6114544215024000
710246255603323
oct1371540162100
9322781526660
10102232024128
113a3a1348943
121799136b000
139843074490
144d3b6767ba
1529d51801a3
hex17cd80e440

102232024128 has 112 divisors (see below), whose sum is σ = 323661999360. Its totient is φ = 31456000512.

The previous prime is 102232024127. The next prime is 102232024129. The reversal of 102232024128 is 821420232201.

102232024128 is a `hidden beast` number, since 1 + 0 + 223 + 20 + 2 + 412 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (102232024127) and next prime (102232024129).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102232024127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2253000 + ... + 2297927.

It is an arithmetic number, because the mean of its divisors is an integer number (2889839280).

Almost surely, 2102232024128 is an apocalyptic number.

102232024128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102232024128 is an abundant number, since it is smaller than the sum of its proper divisors (221429975232).

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

102232024128 is a wasteful number, since it uses less digits than its factorization.

102232024128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4550961 (or 4550945 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 102232024128 its reverse (821420232201), we get a palindrome (923652256329).

The spelling of 102232024128 in words is "one hundred two billion, two hundred thirty-two million, twenty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 7488 11232 22464 4550927 9101854 13652781 18203708 27305562 36407416 40958343 54611124 59162051 72814832 81916686 109222248 118324102 122875029 145629664 163833372 177486153 218444496 236648204 245750058 291259328 327666744 354972306 436888992 473296408 491500116 532458459 655333488 709944612 873777984 946592816 983000232 1064916918 1310666976 1419889224 1597375377 1893185632 1966000464 2129833836 2621333952 2839778448 3194750754 3786371264 3932000928 4259667672 5679556896 6389501508 7864001856 8519335344 11359113792 12779003016 17038670688 25558006032 34077341376 51116012064 102232024128