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21013144131012 = 22311493132283611
BaseRepresentation
bin1001100011100100000001…
…11111011101010111000100
32202101211121010212222011220
410301302000333131113010
510223234404344143022
6112405145525000340
74266102205032405
oct461620077352704
982354533788156
1021013144131012
116771696061120
1224345a35530b0
13b956b9776997
1452908222b9ac
1526690051e85c
hex131c80fdd5c4

21013144131012 has 48 divisors (see below), whose sum is σ = 53498852193024. Its totient is φ = 6366327892000.

The previous prime is 21013144130983. The next prime is 21013144131013.

21013144131012 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (21013144131013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15490914 + ... + 16792697.

It is an arithmetic number, because the mean of its divisors is an integer number (1114559420688).

Almost surely, 221013144131012 is an apocalyptic number.

21013144131012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21013144131012 is an abundant number, since it is smaller than the sum of its proper divisors (32485708062012).

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

21013144131012 is a wasteful number, since it uses less digits than its factorization.

21013144131012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32288560 (or 32288558 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 2101314 and 4131012, that added together give a palindrome (6232326).

The spelling of 21013144131012 in words is "twenty-one trillion, thirteen billion, one hundred forty-four million, one hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 4931 9862 14793 19724 29586 54241 59172 108482 162723 216964 325446 650892 32283611 64567222 96850833 129134444 193701666 355119721 387403332 710239442 1065359163 1420478884 2130718326 4261436652 159190485841 318380971682 477571457523 636761943364 955142915046 1751095344251 1910285830092 3502190688502 5253286032753 7004381377004 10506572065506 21013144131012