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131566995 = 32571779311
BaseRepresentation
bin1111101011110…
…00110110010011
3100011120021222200
413311320312103
5232140120440
621015534243
73155205150
oct765706623
9304507880
10131566995
11682a225a
123808a383
1321346ac1
141368b227
15b83cc30
hex7d78d93

131566995 has 96 divisors (see below), whose sum is σ = 280350720. Its totient is φ = 55710720.

The previous prime is 131566993. The next prime is 131567021. The reversal of 131566995 is 599665131.

It is not a de Polignac number, because 131566995 - 21 = 131566993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 131566995.

It is not an unprimeable number, because it can be changed into a prime (131566993) 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 95 ways as a sum of consecutive naturals, for example, 422890 + ... + 423200.

It is an arithmetic number, because the mean of its divisors is an integer number (2920320).

Almost surely, 2131566995 is an apocalyptic number.

131566995 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131566995 is an abundant number, since it is smaller than the sum of its proper divisors (148783725).

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

131566995 is a wasteful number, since it uses less digits than its factorization.

131566995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 422 counting only the distinct ones).

The product of its digits is 218700, while the sum is 45.

The square root of 131566995 is about 11470.2656900353. The cubic root of 131566995 is about 508.6069828825.

The spelling of 131566995 in words is "one hundred thirty-one million, five hundred sixty-six thousand, nine hundred ninety-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 79 85 105 119 153 237 255 311 315 357 395 553 595 711 765 933 1071 1185 1343 1555 1659 1785 2177 2765 2799 3555 4029 4665 4977 5287 5355 6531 6715 8295 9401 10885 12087 13995 15861 19593 20145 24569 24885 26435 28203 32655 37009 47005 47583 60435 73707 79305 84609 97965 111027 122845 141015 171983 185045 221121 237915 333081 368535 417673 423045 515949 555135 859915 1105605 1253019 1547847 1665405 2088365 2579745 2923711 3759057 6265095 7739235 8771133 14618555 18795285 26313399 43855665 131566995