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131132496027 = 31331791372957
BaseRepresentation
bin111101000100000011…
…0110001100010011011
3110112110211221000010010
41322020012301202123
54122024404333102
6140124052253003
712321404553021
oct1721006614233
9415424830103
10131132496027
115068196a165
12214b8011163
13c49a6c2620
1464bda66711
1536274b7d6c
hex1e881b189b

131132496027 has 32 divisors (see below), whose sum is σ = 196827258880. Its totient is φ = 77105208960.

The previous prime is 131132496017. The next prime is 131132496031. The reversal of 131132496027 is 720694231131.

It is not a de Polignac number, because 131132496027 - 210 = 131132495003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131132496017) 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 31 ways as a sum of consecutive naturals, for example, 590968 + ... + 781989.

It is an arithmetic number, because the mean of its divisors is an integer number (6150851840).

Almost surely, 2131132496027 is an apocalyptic number.

131132496027 is a deficient number, since it is larger than the sum of its proper divisors (65694762853).

131132496027 is a wasteful number, since it uses less digits than its factorization.

131132496027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373083.

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 131132496027 in words is "one hundred thirty-one billion, one hundred thirty-two million, four hundred ninety-six thousand, twenty-seven".

Divisors: 1 3 13 31 39 79 93 237 403 1027 1209 2449 3081 7347 31837 95511 1372957 4118871 17848441 42561667 53545323 108463603 127685001 325390809 553301671 1410026839 1659905013 3362371693 4230080517 10087115079 43710832009 131132496027