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13021303311232 = 2729139181139429
BaseRepresentation
bin1011110101111100001000…
…1010001000101110000000
31201002211021000102212102121
42331133002022020232000
53201320112121424412
643405523144254024
72512521014636446
oct275370212105600
951084230385377
1013021303311232
114170338288837
121563748171314
13735b9938a218
1433033d450b96
15178aa9a49107
hexbd7c2288b80

13021303311232 has 128 divisors (see below), whose sum is σ = 27177974460000. Its totient is φ = 6206397603840.

The previous prime is 13021303311197. The next prime is 13021303311239. The reversal of 13021303311232 is 23211330312031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 13021303311197 and 13021303311206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13021303311239) by changing a digit.

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, 93320494 + ... + 93459922.

Almost surely, 213021303311232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13021303311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13588987230000).

13021303311232 is an abundant number, since it is smaller than the sum of its proper divisors (14156671148768).

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

13021303311232 is a wasteful number, since it uses less digits than its factorization.

13021303311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139792 (or 139780 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 13021303311232 its reverse (23211330312031), we get a palindrome (36232633623263).

The spelling of 13021303311232 in words is "thirteen trillion, twenty-one billion, three hundred three million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 139 181 232 278 362 464 556 724 928 1112 1448 1856 2224 2896 3712 4031 4448 5249 5792 8062 8896 10498 11584 16124 17792 20996 23168 25159 32248 41992 50318 64496 83984 100636 128992 139429 167968 201272 257984 278858 335936 402544 515968 557716 671872 729611 805088 1115432 1459222 1610176 2230864 2918444 3220352 4043441 4461728 5836888 8086882 8923456 11673776 16173764 17846912 19380631 23347552 25236649 32347528 38761262 46695104 50473298 64695056 77522524 93390208 100946596 129390112 155045048 201893192 258780224 310090096 403786384 517560448 562038299 620180192 731862821 807572768 1124076598 1240360384 1463725642 1615145536 2248153196 2480720768 2927451284 3230291072 3507894211 4496306392 5854902568 7015788422 8992612784 11709805136 14031576844 17985225568 23419610272 28063153688 35970451136 46839220544 56126307376 71940902272 93678441088 101728932119 112252614752 203457864238 224505229504 406915728476 449010459008 813831456952 1627662913904 3255325827808 6510651655616 13021303311232