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131131130131 = 1381223942409
BaseRepresentation
bin111101000100000000…
…1100100000100010011
3110112110202100121110101
41322020001210010103
54122024032131011
6140124003113231
712321360133561
oct1721001440423
9415422317411
10131131130131
1150681116a21
12214b7672817
13c49a3349c1
1464bd7cca31
1536272e82c1
hex1e88064113

131131130131 has 8 divisors (see below), whose sum is σ = 131287788800. Its totient is φ = 130974563520.

The previous prime is 131131130129. The next prime is 131131130159. The reversal of 131131130131 is 131031131131.

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

It is a cyclic number.

It is not a de Polignac number, because 131131130131 - 21 = 131131130129 is a prime.

It is a super-2 number, since 2×1311311301312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131131130099 and 131131130108.

It is not an unprimeable number, because it can be changed into a prime (131131130111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3070855 + ... + 3113263.

It is an arithmetic number, because the mean of its divisors is an integer number (16410973600).

Almost surely, 2131131130131 is an apocalyptic number.

131131130131 is a deficient number, since it is larger than the sum of its proper divisors (156658669).

131131130131 is a wasteful number, since it uses less digits than its factorization.

131131130131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46029.

The product of its (nonzero) digits is 81, while the sum is 19.

Adding to 131131130131 its reverse (131031131131), we get a palindrome (262162261262).

The spelling of 131131130131 in words is "one hundred thirty-one billion, one hundred thirty-one million, one hundred thirty thousand, one hundred thirty-one".

Divisors: 1 1381 2239 42409 3092059 58566829 94953751 131131130131