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131333694160 = 24514591125203
BaseRepresentation
bin111101001010000011…
…0010010001011010000
3110112222212111221001211
41322110012102023100
54122432411203120
6140200040505504
712326366660344
oct1722406221320
9415885457054
10131333694160
11507754a0309
122155347b294
13c5002a9086
1464dc67b624
153639eac25a
hex1e941922d0

131333694160 has 40 divisors (see below), whose sum is σ = 305560398240. Its totient is φ = 52497424512.

The previous prime is 131333694113. The next prime is 131333694169. The reversal of 131333694160 is 61496333131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131333694169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 445882 + ... + 679321.

It is an arithmetic number, because the mean of its divisors is an integer number (7639009956).

Almost surely, 2131333694160 is an apocalyptic number.

131333694160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131333694160 is an abundant number, since it is smaller than the sum of its proper divisors (174226704080).

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

131333694160 is a wasteful number, since it uses less digits than its factorization.

131333694160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126675 (or 1126669 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 40.

The spelling of 131333694160 in words is "one hundred thirty-one billion, three hundred thirty-three million, six hundred ninety-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1459 2918 5836 7295 11672 14590 23344 29180 58360 116720 1125203 2250406 4500812 5626015 9001624 11252030 18003248 22504060 45008120 90016240 1641671177 3283342354 6566684708 8208355885 13133369416 16416711770 26266738832 32833423540 65666847080 131333694160