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131313323112 = 23310154172163
BaseRepresentation
bin111101001001011100…
…0100100110001101000
3110112221110011222020120
41322102320210301220
54122412202314422
6140154032123240
712326031554466
oct1722270446150
9415843158216
10131313323112
1150764a47234
1221548696520
13c4c8cc5aba
1464d9a97836
1536382d645c
hex1e92e24c68

131313323112 has 32 divisors (see below), whose sum is σ = 331533643680. Its totient is φ = 43337729600.

The previous prime is 131313323087. The next prime is 131313323123. The reversal of 131313323112 is 211323313131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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, 27083658 + ... + 27088505.

It is an arithmetic number, because the mean of its divisors is an integer number (10360426365).

Almost surely, 2131313323112 is an apocalyptic number.

131313323112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131313323112 is an abundant number, since it is smaller than the sum of its proper divisors (200220320568).

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

131313323112 is a wasteful number, since it uses less digits than its factorization.

131313323112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54172273 (or 54172269 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

Adding to 131313323112 its reverse (211323313131), we get a palindrome (342636636243).

The spelling of 131313323112 in words is "one hundred thirty-one billion, three hundred thirteen million, three hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 101 202 303 404 606 808 1212 2424 54172163 108344326 162516489 216688652 325032978 433377304 650065956 1300131912 5471388463 10942776926 16414165389 21885553852 32828330778 43771107704 65656661556 131313323112