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131952282 = 23711285611
BaseRepresentation
bin1111101110101…
…10111010011010
3100012021212111120
413313112322122
5232234433112
621032110110
73161401350
oct767267232
9305255446
10131952282
1168535780
1238235336
1321450297
141374b7d0
15b8b6e8c
hex7dd6e9a

131952282 has 32 divisors (see below), whose sum is σ = 329025024. Its totient is φ = 34273200.

The previous prime is 131952269. The next prime is 131952287. The reversal of 131952282 is 282259131.

It is a happy number.

It is a super-2 number, since 2×1319522822 = 34822809450015048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (131952287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142344 + ... + 143267.

It is an arithmetic number, because the mean of its divisors is an integer number (10282032).

Almost surely, 2131952282 is an apocalyptic number.

131952282 is an abundant number, since it is smaller than the sum of its proper divisors (197072742).

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

131952282 is a wasteful number, since it uses less digits than its factorization.

131952282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285634.

The product of its digits is 8640, while the sum is 33.

The square root of 131952282 is about 11487.0484459673. The cubic root of 131952282 is about 509.1029752687.

The spelling of 131952282 in words is "one hundred thirty-one million, nine hundred fifty-two thousand, two hundred eighty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 285611 571222 856833 1713666 1999277 3141721 3998554 5997831 6283442 9425163 11995662 18850326 21992047 43984094 65976141 131952282