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10003211321232 = 2433743130986949
BaseRepresentation
bin1001000110010000110111…
…0110110111111110010000
31022102022000222220021101210
42101210031312313332100
52302343034044234412
633135224542500120
72051464621206003
oct221441566677620
938368028807353
1010003211321232
11320737a00a208
121156833294640
135773b655c0bc
1426822d82353a
15125316d2a83c
hex9190ddb7f90

10003211321232 has 80 divisors (see below), whose sum is σ = 27157262369600. Its totient is φ = 3168836246016.

The previous prime is 10003211321231. The next prime is 10003211321287. The reversal of 10003211321232 is 23212311230001.

It is a junction number, because it is equal to n+sod(n) for n = 10003211321199 and 10003211321208.

It is not an unprimeable number, because it can be changed into a prime (10003211321231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65417107 + ... + 65569842.

It is an arithmetic number, because the mean of its divisors is an integer number (339465779620).

Almost surely, 210003211321232 is an apocalyptic number.

10003211321232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10003211321232 is an abundant number, since it is smaller than the sum of its proper divisors (17154051048368).

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

10003211321232 is a wasteful number, since it uses less digits than its factorization.

10003211321232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130987040 (or 130987034 counting only the distinct ones).

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

Adding to 10003211321232 its reverse (23212311230001), we get a palindrome (33215522551233).

The spelling of 10003211321232 in words is "ten trillion, three billion, two hundred eleven million, three hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 43 48 74 86 111 129 148 172 222 258 296 344 444 516 592 688 888 1032 1591 1776 2064 3182 4773 6364 9546 12728 19092 25456 38184 76368 130986949 261973898 392960847 523947796 785921694 1047895592 1571843388 2095791184 3143686776 4846517113 5632438807 6287373552 9693034226 11264877614 14539551339 16897316421 19386068452 22529755228 29079102678 33794632842 38772136904 45059510456 58158205356 67589265684 77544273808 90119020912 116316410712 135178531368 208400235859 232632821424 270357062736 416800471718 625200707577 833600943436 1250401415154 1667201886872 2500802830308 3334403773744 5001605660616 10003211321232