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131324065376 = 2574313634143
BaseRepresentation
bin111101001001110000…
…1100011011001100000
3110112222012101201212012
41322103201203121200
54122422430043001
6140155054252052
712326222065160
oct1722341433140
9415865351765
10131324065376
1150770014039
12215501b7028
13c4cb2b747a
1464db2925a0
1536392092bb
hex1e93863660

131324065376 has 48 divisors (see below), whose sum is σ = 302350777344. Its totient is φ = 54972860544.

The previous prime is 131324065349. The next prime is 131324065381. The reversal of 131324065376 is 673560423131.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 6807440 + ... + 6826703.

It is an arithmetic number, because the mean of its divisors is an integer number (6298974528).

Almost surely, 2131324065376 is an apocalyptic number.

131324065376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131324065376 is an abundant number, since it is smaller than the sum of its proper divisors (171026711968).

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

131324065376 is a wasteful number, since it uses less digits than its factorization.

131324065376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13634203 (or 13634195 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 41.

The spelling of 131324065376 in words is "one hundred thirty-one billion, three hundred twenty-four million, sixty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 602 688 1204 1376 2408 4816 9632 13634143 27268286 54536572 95439001 109073144 190878002 218146288 381756004 436292576 586268149 763512008 1172536298 1527024016 2345072596 3054048032 4103877043 4690145192 8207754086 9380290384 16415508172 18760580768 32831016344 65662032688 131324065376