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131800095 = 3357211661
BaseRepresentation
bin1111101101100…
…01110000011111
3100012000010202000
413312301300133
5232220100340
621024533343
73160165560
oct766616037
9305003660
10131800095
11684413a9
1238181253
13213c8c2b
141370c167
15b886d30
hex7db1c1f

131800095 has 64 divisors (see below), whose sum is σ = 269460480. Its totient is φ = 59875200.

The previous prime is 131800091. The next prime is 131800103. The reversal of 131800095 is 590008131.

It is not a de Polignac number, because 131800095 - 22 = 131800091 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131800091) 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 63 ways as a sum of consecutive naturals, for example, 199065 + ... + 199725.

It is an arithmetic number, because the mean of its divisors is an integer number (4210320).

Almost surely, 2131800095 is an apocalyptic number.

131800095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131800095 is an abundant number, since it is smaller than the sum of its proper divisors (137660385).

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

131800095 is a wasteful number, since it uses less digits than its factorization.

131800095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 131800095 is about 11480.4222483322. The cubic root of 131800095 is about 508.9071755469.

The spelling of 131800095 in words is "one hundred thirty-one million, eight hundred thousand, ninety-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 211 315 633 661 945 1055 1477 1899 1983 3165 3305 4431 4627 5697 5949 7385 9495 9915 13293 13881 17847 22155 23135 28485 29745 39879 41643 66465 69405 89235 124929 139471 199395 208215 418413 624645 697355 976297 1255239 2092065 2928891 3765717 4881485 6276195 8786673 14644455 18828585 26360019 43933365 131800095