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21920382131 = 173128811523
BaseRepresentation
bin10100011010100011…
…100111110010110011
32002120200001210021212
4110122203213302303
5324343104212011
614023045510335
71404131113424
oct243243476263
962520053255
1021920382131
11932953659a
1242b91123ab
1320b44c681b
1410bd37764b
1588465308b
hex51a8e7cb3

21920382131 has 24 divisors (see below), whose sum is σ = 24025658832. Its totient is φ = 19929676800.

The previous prime is 21920382119. The next prime is 21920382151. The reversal of 21920382131 is 13128302912.

It is not a de Polignac number, because 21920382131 - 210 = 21920381107 is a prime.

It is a super-2 number, since 2×219203821312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21920382101) 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 23 ways as a sum of consecutive naturals, for example, 14392136 + ... + 14393658.

It is an arithmetic number, because the mean of its divisors is an integer number (1001069118).

Almost surely, 221920382131 is an apocalyptic number.

21920382131 is a deficient number, since it is larger than the sum of its proper divisors (2105276701).

21920382131 is a wasteful number, since it uses less digits than its factorization.

21920382131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 21920382131 in words is "twenty-one billion, nine hundred twenty million, three hundred eighty-two thousand, one hundred thirty-one".

Divisors: 1 17 31 527 881 961 1523 14977 16337 25891 27311 47213 464287 802621 846641 1341763 1463603 14392897 22809971 24881251 41594653 707109101 1289434243 21920382131