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131363388 = 223213299679
BaseRepresentation
bin1111101010001…
…11001000111100
3100011011221200200
413311013020330
5232112112023
621011323500
73153366432
oct765071074
9304157620
10131363388
1168173292
1237bb0590
13212a5220
1413636d52
15b7ec743
hex7d4723c

131363388 has 72 divisors (see below), whose sum is σ = 369969600. Its totient is φ = 39021696.

The previous prime is 131363371. The next prime is 131363423. The reversal of 131363388 is 883363131.

131363388 is a `hidden beast` number, since 1 + 3 + 13 + 633 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8733 + ... + 18411.

Almost surely, 2131363388 is an apocalyptic number.

131363388 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131363388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184984800).

131363388 is an abundant number, since it is smaller than the sum of its proper divisors (238606212).

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

131363388 is a wasteful number, since it uses less digits than its factorization.

131363388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9731 (or 9726 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 131363388 is about 11461.3868270816. The cubic root of 131363388 is about 508.3444818720.

The spelling of 131363388 in words is "one hundred thirty-one million, three hundred sixty-three thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 1044 1131 1508 2262 3393 4524 6786 9679 13572 19358 29037 38716 58074 87111 116148 125827 174222 251654 280691 348444 377481 503308 561382 754962 842073 1122764 1132443 1509924 1684146 2264886 2526219 3368292 3648983 4529772 5052438 7297966 10104876 10946949 14595932 21893898 32840847 43787796 65681694 131363388