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13021011212031 = 32831091327120511
BaseRepresentation
bin1011110101111011000010…
…1111110111011011111111
31201002210111122210200122200
42331132300233313123333
53201314012332241111
643405434151442543
72512510540064334
oct275366057673377
951083448720580
1013021011212031
1141701a8410339
121563686386453
13735b509c7664
1433031273698b
15178a8e09b256
hexbd7b0bf76ff

13021011212031 has 48 divisors (see below), whose sum is σ = 19223997112320. Its totient is φ = 8490934071360.

The previous prime is 13021011211993. The next prime is 13021011212057. The reversal of 13021011212031 is 13021211012031.

13021011212031 is a `hidden beast` number, since 130 + 210 + 1 + 121 + 203 + 1 = 666.

It is not a de Polignac number, because 13021011212031 - 215 = 13021011179263 is a prime.

It is a super-2 number, since 2×130210112120312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13021011211995 and 13021011212013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13021011212071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107988066 + ... + 108108576.

It is an arithmetic number, because the mean of its divisors is an integer number (400499939840).

Almost surely, 213021011212031 is an apocalyptic number.

13021011212031 is a deficient number, since it is larger than the sum of its proper divisors (6202985900289).

13021011212031 is a wasteful number, since it uses less digits than its factorization.

13021011212031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122036 (or 122033 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13021011212031 its reverse (13021211012031), we get a palindrome (26042222224062).

The spelling of 13021011212031 in words is "thirteen trillion, twenty-one billion, eleven million, two hundred twelve thousand, thirty-one".

Divisors: 1 3 9 83 109 249 327 747 981 1327 3981 9047 11943 27141 81423 110141 120511 144643 330423 361533 433929 991269 1084599 1301787 10002413 12005369 13135699 30007239 36016107 39407097 90021717 108048321 118221291 159918097 479754291 1090263017 1439262873 3270789051 9812367153 13273202051 17431072573 39819606153 52293217719 119458818459 156879653157 1446779023559 4340337070677 13021011212031