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1002251051232 = 253193117725153
BaseRepresentation
bin11101001010110101101…
…00010110000011100000
310112210222121011200020220
432211122310112003200
5112410102232114412
62044232222203040
7132260500241424
oct16453264260340
93483877150226
101002251051232
11357063654012
121422aba23480
1373686762c12
143671b3b2b84
151b10e1b968c
hexe95ad160e0

1002251051232 has 96 divisors (see below), whose sum is σ = 2858712837120. Its totient is φ = 306290626560.

The previous prime is 1002251051147. The next prime is 1002251051279. The reversal of 1002251051232 is 2321501522001.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8806033 + ... + 8919120.

It is an arithmetic number, because the mean of its divisors is an integer number (29778258720).

Almost surely, 21002251051232 is an apocalyptic number.

1002251051232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002251051232 is an abundant number, since it is smaller than the sum of its proper divisors (1856461785888).

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

1002251051232 is a wasteful number, since it uses less digits than its factorization.

1002251051232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17725216 (or 17725208 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 1002251051232 its reverse (2321501522001), we get a palindrome (3323752573233).

The spelling of 1002251051232 in words is "one trillion, two billion, two hundred fifty-one million, fifty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 76 93 96 114 124 152 186 228 248 304 372 456 496 589 608 744 912 992 1178 1488 1767 1824 2356 2976 3534 4712 7068 9424 14136 18848 28272 56544 17725153 35450306 53175459 70900612 106350918 141801224 212701836 283602448 336777907 425403672 549479743 567204896 673555814 850807344 1010333721 1098959486 1347111628 1648439229 1701614688 2020667442 2197918972 2694223256 3296878458 4041334884 4395837944 5388446512 6593756916 8082669768 8791675888 10440115117 10776893024 13187513832 16165339536 17583351776 20880230234 26375027664 31320345351 32330679072 41760460468 52750055328 62640690702 83520920936 125281381404 167041841872 250562762808 334083683744 501125525616 1002251051232