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131800956 = 22373742407
BaseRepresentation
bin1111101101100…
…01111101111100
3100012000011220220
413312301331330
5232220112311
621024541340
73160201230
oct766617574
9305004826
10131800956
1168442011
1238181850
13213c9441
141370c5c0
15b887206
hex7db1f7c

131800956 has 48 divisors (see below), whose sum is σ = 360976896. Its totient is φ = 36638784.

The previous prime is 131800951. The next prime is 131800961. The reversal of 131800956 is 659008131.

It is an interprime number because it is at equal distance from previous prime (131800951) and next prime (131800961).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131800951) 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, 18096 + ... + 24311.

It is an arithmetic number, because the mean of its divisors is an integer number (7520352).

Almost surely, 2131800956 is an apocalyptic number.

It is an amenable number.

131800956 is an abundant number, since it is smaller than the sum of its proper divisors (229175940).

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

131800956 is a wasteful number, since it uses less digits than its factorization.

131800956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42458 (or 42456 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 131800956 is about 11480.4597468917. The cubic root of 131800956 is about 508.9082837103.

The spelling of 131800956 in words is "one hundred thirty-one million, eight hundred thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1554 3108 42407 84814 127221 169628 254442 296849 508884 593698 890547 1187396 1569059 1781094 3138118 3562188 4707177 6276236 9414354 10983413 18828708 21966826 32950239 43933652 65900478 131800956