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131131110306 = 23723135746491
BaseRepresentation
bin111101000100000000…
…1011111001110100010
3110112110202022121021010
41322020001133032202
54122024031012211
6140124002441350
712321360022020
oct1721001371642
9415422277233
10131131110306
1150681103039
12214b7663256
13c49a328981
1464bd7c5710
1536272e24a6
hex1e8805f3a2

131131110306 has 32 divisors (see below), whose sum is σ = 312759917568. Its totient is φ = 35837073360.

The previous prime is 131131110301. The next prime is 131131110307. The reversal of 131131110306 is 603011131131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (131131110301) 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 15 ways as a sum of consecutive naturals, for example, 67872280 + ... + 67874211.

It is an arithmetic number, because the mean of its divisors is an integer number (9773747424).

Almost surely, 2131131110306 is an apocalyptic number.

131131110306 is an abundant number, since it is smaller than the sum of its proper divisors (181628807262).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131131110306 is a wasteful number, since it uses less digits than its factorization.

131131110306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135746526.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 131131110306 its reverse (603011131131), we get a palindrome (734142241437).

The spelling of 131131110306 in words is "one hundred thirty-one billion, one hundred thirty-one million, one hundred ten thousand, three hundred six".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 966 135746491 271492982 407239473 814478946 950225437 1900450874 2850676311 3122169293 5701352622 6244338586 9366507879 18733015758 21855185051 43710370102 65565555153 131131110306