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21031120131 = 3729432932741
BaseRepresentation
bin10011100101100011…
…010110110100000011
32000021200202121011020
4103211203112310003
5321032431321011
613354521520523
71343112400020
oct234543266403
960250677136
1021031120131
118a1257891a
1240ab343143
131ca21bc8a8
141037214547
15831548006
hex4e58d6d03

21031120131 has 64 divisors (see below), whose sum is σ = 34051691520. Its totient is φ = 11290728960.

The previous prime is 21031120129. The next prime is 21031120133. The reversal of 21031120131 is 13102113012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21031120129) and next prime (21031120133).

It is not a de Polignac number, because 21031120131 - 21 = 21031120129 is a prime.

It is a super-2 number, since 2×210311201312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21031120131.

It is not an unprimeable number, because it can be changed into a prime (21031120133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7671421 + ... + 7674161.

It is an arithmetic number, because the mean of its divisors is an integer number (532057680).

Almost surely, 221031120131 is an apocalyptic number.

21031120131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21031120131 is a deficient number, since it is larger than the sum of its proper divisors (13020571389).

21031120131 is a wasteful number, since it uses less digits than its factorization.

21031120131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 21031120131 its reverse (13102113012), we get a palindrome (34133233143).

The spelling of 21031120131 in words is "twenty-one billion, thirty-one million, one hundred twenty thousand, one hundred thirty-one".

Divisors: 1 3 7 21 29 43 87 129 203 293 301 609 879 903 1247 2051 2741 3741 6153 8223 8497 8729 12599 19187 25491 26187 37797 57561 59479 79489 88193 117863 178437 238467 264579 353589 365371 556423 803113 825041 1096113 1669269 2409339 2475123 2557597 3418027 5621791 7672791 10254081 16865373 23290277 23926189 34533859 69870831 71778567 103601577 163031939 241737013 489095817 725211039 1001481911 3004445733 7010373377 21031120131