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131337244872 = 23325334417517
BaseRepresentation
bin111101001010001001…
…1110101000011001000
3110120000010012022201200
41322110103311003020
54122434313313442
6140200244544200
712326442106311
oct1722423650310
9416003168650
10131337244872
11507774a5a89
12215546b2060
13c500c502a2
1464dcd23608
15363a45e34c
hex1e944f50c8

131337244872 has 48 divisors (see below), whose sum is σ = 362416464540. Its totient is φ = 42953059968.

The previous prime is 131337244867. The next prime is 131337244873. The reversal of 131337244872 is 278442733131.

131337244872 is a `hidden beast` number, since 1 + 3 + 1 + 337 + 244 + 8 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 131112064836 + 225180036 = 362094^2 + 15006^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (131337244873) 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, 17204943 + ... + 17212574.

Almost surely, 2131337244872 is an apocalyptic number.

131337244872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131337244872 is an abundant number, since it is smaller than the sum of its proper divisors (231079219668).

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

131337244872 is a wasteful number, since it uses less digits than its factorization.

131337244872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34417582 (or 34417575 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 131337244872 in words is "one hundred thirty-one billion, three hundred thirty-seven million, two hundred forty-four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 34417517 68835034 103252551 137670068 206505102 275340136 309757653 413010204 619515306 826020408 1239030612 1824128401 2478061224 3648256802 5472385203 7296513604 10944770406 14593027208 16417155609 21889540812 32834311218 43779081624 65668622436 131337244872