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131880882 = 23731199509
BaseRepresentation
bin1111101110001…
…01011110110010
3100012011020120010
413313011132302
5232230142012
621030355350
73160653240
oct767053662
9305136503
10131880882
1168497071
12381bbb56
1321426933
141372d790
15b8a0c3c
hex7dc57b2

131880882 has 64 divisors (see below), whose sum is σ = 313344000. Its totient is φ = 36210240.

The previous prime is 131880877. The next prime is 131880901. The reversal of 131880882 is 288088131.

It is a self number, because there is not a number n which added to its sum of digits gives 131880882.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 258844 + ... + 259352.

It is an arithmetic number, because the mean of its divisors is an integer number (4896000).

Almost surely, 2131880882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131880882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156672000).

131880882 is an abundant number, since it is smaller than the sum of its proper divisors (181463118).

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

131880882 is a wasteful number, since it uses less digits than its factorization.

131880882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751.

The product of its (nonzero) digits is 24576, while the sum is 39.

The square root of 131880882 is about 11483.9401774826. The cubic root of 131880882 is about 509.0111326969.

The spelling of 131880882 in words is "one hundred thirty-one million, eight hundred eighty thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 199 217 398 434 509 597 651 1018 1194 1302 1393 1527 2786 3054 3563 4179 6169 7126 8358 10689 12338 15779 18507 21378 31558 37014 43183 47337 86366 94674 101291 110453 129549 202582 220906 259098 303873 331359 607746 662718 709037 1418074 2127111 3140021 4254222 6280042 9420063 18840126 21980147 43960294 65940441 131880882