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131131110213 = 3224595925223
BaseRepresentation
bin111101000100000000…
…1011111001101000101
3110112110202022121010200
41322020001133031011
54122024031011323
6140124002441113
712321360021525
oct1721001371505
9415422277120
10131131110213
1150681102a64
12214b7663199
13c49a32890c
1464bd7c5685
1536272e2443
hex1e8805f345

131131110213 has 12 divisors (see below), whose sum is σ = 189488663520. Its totient is φ = 87385174056.

The previous prime is 131131110211. The next prime is 131131110217. The reversal of 131131110213 is 312011131131.

131131110213 is a `hidden beast` number, since 1 + 311 + 31 + 110 + 213 = 666.

It is not a de Polignac number, because 131131110213 - 21 = 131131110211 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131131110211) 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 11 ways as a sum of consecutive naturals, for example, 2940481 + ... + 2984742.

It is an arithmetic number, because the mean of its divisors is an integer number (15790721960).

Almost surely, 2131131110213 is an apocalyptic number.

It is an amenable number.

131131110213 is a deficient number, since it is larger than the sum of its proper divisors (58357553307).

131131110213 is a wasteful number, since it uses less digits than its factorization.

131131110213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5927688 (or 5927685 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 131131110213 its reverse (312011131131), we get a palindrome (443142241344).

The spelling of 131131110213 in words is "one hundred thirty-one billion, one hundred thirty-one million, one hundred ten thousand, two hundred thirteen".

Divisors: 1 3 9 2459 7377 22131 5925223 17775669 53327007 14570123357 43710370071 131131110213