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131000131 = 1011319901
BaseRepresentation
bin1111100111011…
…10011101000011
3100010111111101201
413303232131003
5232014001011
620555442031
73150324403
oct763563503
9303444351
10131000131
1167a45379
1237a56317
13211a8a92
1413580803
15b779cc1
hex7cee743

131000131 has 8 divisors (see below), whose sum is σ = 133320528. Its totient is φ = 128700000.

The previous prime is 131000087. The next prime is 131000161.

131000131 is nontrivially palindromic in base 10.

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 131000131 - 29 = 130999619 is a prime.

It is a super-2 number, since 2×1310001312 = 34322068644034322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131000161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8281 + ... + 18181.

It is an arithmetic number, because the mean of its divisors is an integer number (16665066).

Almost surely, 2131000131 is an apocalyptic number.

131000131 is a deficient number, since it is larger than the sum of its proper divisors (2320397).

131000131 is a wasteful number, since it uses less digits than its factorization.

131000131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10133.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 131000131 is about 11445.5288650197. The cubic root of 131000131 is about 507.8754771050.

It can be divided in two parts, 131000 and 131, that added together give a palindrome (131131).

The spelling of 131000131 in words is "one hundred thirty-one million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 101 131 9901 13231 1000001 1297031 131000131