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131142104133021 = 32264719993275339
BaseRepresentation
bin11101110100010111100110…
…100010000010110110011101
3122012100001200201102121212200
4131310113212202002312131
5114142113012124224041
61142525503445122113
736423463410516432
oct3564274642026635
9565301621377780
10131142104133021
1138871065a08573
12128602753b9339
135823855319b27
142455451477b89
1510264916131b6
hex7745e6882d9d

131142104133021 has 24 divisors (see below), whose sum is σ = 189509213375040. Its totient is φ = 87390351631296.

The previous prime is 131142104132969. The next prime is 131142104133031. The reversal of 131142104133021 is 120331401241131.

131142104133021 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 4 + 210 + 413 + 30 + 2 + 1 = 666.

It is not a de Polignac number, because 131142104133021 - 215 = 131142104100253 is a prime.

It is a super-2 number, since 2×1311421041330212 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131142104133031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 476155570 + ... + 476430908.

It is an arithmetic number, because the mean of its divisors is an integer number (7896217223960).

Almost surely, 2131142104133021 is an apocalyptic number.

It is an amenable number.

131142104133021 is a deficient number, since it is larger than the sum of its proper divisors (58367109242019).

131142104133021 is a wasteful number, since it uses less digits than its factorization.

131142104133021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297985 (or 297982 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 131142104133021 its reverse (120331401241131), we get a palindrome (251473505374152).

The spelling of 131142104133021 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred four million, one hundred thirty-three thousand, twenty-one".

Divisors: 1 3 9 2647 7941 19993 23823 59979 179937 275339 826017 2478051 52921471 158764413 476293239 728822333 2186466999 5504852627 6559400997 16514557881 49543673643 14571344903669 43714034711007 131142104133021