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131360923272 = 23313757416959
BaseRepresentation
bin111101001010110111…
…0001001111010001000
3110120001202202022101110
41322111232021322020
54123011344021042
6140202452250320
712330150265455
oct1722556117210
9416052668343
10131360923272
11507898a8a07
12215606109a0
13c505b20a87
14650212882c
15363c58a09c
hex1e95b89e88

131360923272 has 64 divisors (see below), whose sum is σ = 330904569600. Its totient is φ = 43453544960.

The previous prime is 131360923271. The next prime is 131360923273. The reversal of 131360923272 is 272329063131.

It is an interprime number because it is at equal distance from previous prime (131360923271) and next prime (131360923273).

It is a self number, because there is not a number n which added to its sum of digits gives 131360923272.

It is not an unprimeable number, because it can be changed into a prime (131360923271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18872929 + ... + 18879887.

It is an arithmetic number, because the mean of its divisors is an integer number (5170383900).

Almost surely, 2131360923272 is an apocalyptic number.

131360923272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131360923272 is an abundant number, since it is smaller than the sum of its proper divisors (199543646328).

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

131360923272 is a wasteful number, since it uses less digits than its factorization.

131360923272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12846 (or 12842 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The spelling of 131360923272 in words is "one hundred thirty-one billion, three hundred sixty million, nine hundred twenty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 137 274 411 548 822 1096 1644 3288 5741 6959 11482 13918 17223 20877 22964 27836 34446 41754 45928 55672 68892 83508 137784 167016 786517 953383 1573034 1906766 2359551 2860149 3146068 3813532 4719102 5720298 6292136 7627064 9438204 11440596 18876408 22881192 39951619 79903238 119854857 159806476 239709714 319612952 479419428 958838856 5473371803 10946743606 16420115409 21893487212 32840230818 43786974424 65680461636 131360923272