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131141403021321 = 32711189237233797
BaseRepresentation
bin11101110100010110111100…
…101111100001000000001001
3122012022222212212011110102200
4131310112330233201000021
5114142110043133140241
61142525310121550413
736423440135255130
oct3564267457410011
9565288785143380
10131141403021321
1138870836179a10
12128600ba645409
135823772cab734
1424553c62d0917
15102644ecc14b6
hex7745bcbe1009

131141403021321 has 24 divisors (see below), whose sum is σ = 236168067779904. Its totient is φ = 68125404166560.

The previous prime is 131141403021313. The next prime is 131141403021329. The reversal of 131141403021321 is 123120304141131.

131141403021321 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 41 + 403 + 0 + 213 + 2 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (131141403021313) and next prime (131141403021329).

It is not a de Polignac number, because 131141403021321 - 23 = 131141403021313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131141403021329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94618616206 + ... + 94618617591.

It is an arithmetic number, because the mean of its divisors is an integer number (9840336157496).

Almost surely, 2131141403021321 is an apocalyptic number.

131141403021321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131141403021321 is a deficient number, since it is larger than the sum of its proper divisors (105026664758583).

131141403021321 is a wasteful number, since it uses less digits than its factorization.

131141403021321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189237233821 (or 189237233818 counting only the distinct ones).

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

Adding to 131141403021321 its reverse (123120304141131), we get a palindrome (254261707162452).

The spelling of 131141403021321 in words is "one hundred thirty-one trillion, one hundred forty-one billion, four hundred three million, twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 189237233797 567711701391 1324660636579 1703135104173 2081609571767 3973981909737 6244828715301 11921945729211 14571267002369 18734486145903 43713801007107 131141403021321