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131212121212131 = 344839756273419
BaseRepresentation
bin11101110101011000110011…
…111000000000010011100011
3122012120202102022220202212220
4131311120303320000103203
5114144234411012242011
61143022003310122123
736431522453051421
oct3565306370002343
9565522368822786
10131212121212131
1138898825805403
1212871955ab0343
13582a33316425b
1424589b4458111
1510281dd499506
hex775633e004e3

131212121212131 has 8 divisors (see below), whose sum is σ = 174988520061120. Its totient is φ = 87455234918952.

The previous prime is 131212121212127. The next prime is 131212121212163.

131212121212131 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 131212121212131 - 22 = 131212121212127 is a prime.

It is a super-2 number, since 2×1312121212121312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131212171212131) 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 7 ways as a sum of consecutive naturals, for example, 4878123261 + ... + 4878150158.

It is an arithmetic number, because the mean of its divisors is an integer number (21873565007640).

Almost surely, 2131212121212131 is an apocalyptic number.

131212121212131 is a deficient number, since it is larger than the sum of its proper divisors (43776398848989).

131212121212131 is an equidigital number, since it uses as much as digits as its factorization.

131212121212131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9756277905.

The product of its digits is 288, while the sum is 24.

The spelling of 131212121212131 in words is "one hundred thirty-one trillion, two hundred twelve billion, one hundred twenty-one million, two hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 4483 13449 9756273419 29268820257 43737373737377 131212121212131