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10032102131232 = 2531928119573153
BaseRepresentation
bin1001000111111100011111…
…1000100100011000100000
31022112001121110001111010210
42101333013320210120200
52303331221121144412
633200403433054120
72053536562064526
oct221770770443040
938461543044123
1010032102131232
113218655131395
121160356857340
1357a03bba654c
142697b081a316
15125e583a583c
hex91fc7e24620

10032102131232 has 96 divisors (see below), whose sum is σ = 27818932317120. Its totient is φ = 3156757954560.

The previous prime is 10032102131203. The next prime is 10032102131257. The reversal of 10032102131232 is 23213120123001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10032102131199 and 10032102131208.

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, 9274033 + ... + 10299120.

It is an arithmetic number, because the mean of its divisors is an integer number (289780544970).

Almost surely, 210032102131232 is an apocalyptic number.

10032102131232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10032102131232 is an abundant number, since it is smaller than the sum of its proper divisors (17786830185888).

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

10032102131232 is a wasteful number, since it uses less digits than its factorization.

10032102131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19573466 (or 19573458 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10032102131232 its reverse (23213120123001), we get a palindrome (33245222254233).

The spelling of 10032102131232 in words is "ten trillion, thirty-two billion, one hundred two million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 281 304 456 562 608 843 912 1124 1686 1824 2248 3372 4496 5339 6744 8992 10678 13488 16017 21356 26976 32034 42712 64068 85424 128136 170848 256272 512544 19573153 39146306 58719459 78292612 117438918 156585224 234877836 313170448 371889907 469755672 626340896 743779814 939511344 1115669721 1487559628 1879022688 2231339442 2975119256 4462678884 5500055993 5950238512 8925357768 11000111986 11900477024 16500167979 17850715536 22000223972 33000335958 35701431072 44000447944 66000671916 88000895888 104501063867 132001343832 176001791776 209002127734 264002687664 313503191601 418004255468 528005375328 627006383202 836008510936 1254012766404 1672017021872 2508025532808 3344034043744 5016051065616 10032102131232