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131121231345351 = 32131994162682157
BaseRepresentation
bin11101110100000100001010…
…011010101011011011000111
3122012021001211001121011000200
4131310010022122223123013
5114141242240211022401
61142512132340541543
736422124226662162
oct3564041232533307
9565231731534020
10131121231345351
1138863224853225
121285820b0b18b3
1358218a9b859b0
1424544312baad9
151025b6de43686
hex77410a6ab6c7

131121231345351 has 48 divisors (see below), whose sum is σ = 214929597923040. Its totient is φ = 76361909725440.

The previous prime is 131121231345289. The next prime is 131121231345353. The reversal of 131121231345351 is 153543132121131.

131121231345351 is a `hidden beast` number, since 1 + 3 + 1 + 121 + 2 + 31 + 3 + 453 + 51 = 666.

It is not a de Polignac number, because 131121231345351 - 29 = 131121231344839 is a prime.

It is a super-2 number, since 2×1311212313453512 (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 (131121231345353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29249236 + ... + 33432921.

It is an arithmetic number, because the mean of its divisors is an integer number (4477699956730).

Almost surely, 2131121231345351 is an apocalyptic number.

131121231345351 is a deficient number, since it is larger than the sum of its proper divisors (83808366577689).

131121231345351 is a wasteful number, since it uses less digits than its factorization.

131121231345351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62683136 (or 62683133 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

Adding to 131121231345351 its reverse (153543132121131), we get a palindrome (284664363466482).

The spelling of 131121231345351 in words is "one hundred thirty-one trillion, one hundred twenty-one billion, two hundred thirty-one million, three hundred forty-five thousand, three hundred fifty-one".

Divisors: 1 3 9 13 19 39 57 117 171 247 741 941 2223 2823 8469 12233 17879 36699 53637 110097 160911 232427 697281 2091843 62682157 188046471 564139413 814868041 1190960983 2444604123 3572882949 7333812369 10718648847 15482492779 46447478337 58983909737 139342435011 176951729211 530855187633 766790826581 1120694285003 2300372479743 3362082855009 6901117439229 10086248565027 14569025705039 43707077115117 131121231345351