Search a number
-
+
12021232000113 = 3373113731494359
BaseRepresentation
bin1010111011101110100101…
…0000110101110001110001
31120120012220022211110111000
42232323221100311301301
53033423440343000423
641322251105312213
72350335223023330
oct256735120656161
946505808743430
1012021232000113
1139151a3086836
121421966335669
1369279c3b416b
142d7b8b763d17
1515ca76de8843
hexaeee9435c71

12021232000113 has 64 divisors (see below), whose sum is σ = 21025286553600. Its totient is φ = 6642839730240.

The previous prime is 12021232000087. The next prime is 12021232000133. The reversal of 12021232000113 is 31100023212021.

12021232000113 is a `hidden beast` number, since 1 + 20 + 212 + 320 + 0 + 0 + 113 = 666.

It is not a de Polignac number, because 12021232000113 - 28 = 12021231999857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12021232000133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7297228 + ... + 8791586.

It is an arithmetic number, because the mean of its divisors is an integer number (328520102400).

Almost surely, 212021232000113 is an apocalyptic number.

It is an amenable number.

12021232000113 is a deficient number, since it is larger than the sum of its proper divisors (9004054553487).

12021232000113 is a wasteful number, since it uses less digits than its factorization.

12021232000113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495779 (or 1495773 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12021232000113 its reverse (31100023212021), we get a palindrome (43121255212134).

The spelling of 12021232000113 in words is "twelve trillion, twenty-one billion, two hundred thirty-two million, one hundred thirteen", and thus it is an aban number.

Divisors: 1 3 7 9 21 27 31 63 93 189 217 279 651 837 1373 1953 4119 5859 9611 12357 28833 37071 42563 86499 127689 259497 297941 383067 893823 1149201 1494359 2681469 4483077 8044407 10460513 13449231 31381539 40347693 46325129 94144617 138975387 282433851 324275903 416926161 972827709 1250778483 2051754907 2918483127 6155264721 8755449381 14362284349 18465794163 43086853047 55397382489 63604402117 129260559141 190813206351 387781677423 445230814819 572439619053 1335692444457 1717318857159 4007077333371 12021232000113