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131363980 = 225113671627
BaseRepresentation
bin1111101010001…
…11010010001100
3100011011222111121
413311013102030
5232112121410
621011330324
73153401236
oct765072214
9304158447
10131363980
1168173780
1237bb09a4
13212a5587
1413637256
15b7ec9da
hex7d4748c

131363980 has 48 divisors (see below), whose sum is σ = 301948416. Its totient is φ = 47609280.

The previous prime is 131363977. The next prime is 131363989. The reversal of 131363980 is 89363131.

It is not an unprimeable number, because it can be changed into a prime (131363989) 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, 79927 + ... + 81553.

It is an arithmetic number, because the mean of its divisors is an integer number (6290592).

Almost surely, 2131363980 is an apocalyptic number.

131363980 is a gapful number since it is divisible by the number (10) 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 131363980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150974208).

131363980 is an abundant number, since it is smaller than the sum of its proper divisors (170584436).

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

131363980 is a wasteful number, since it uses less digits than its factorization.

131363980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 131363980 is about 11461.4126528975. The cubic root of 131363980 is about 508.3452455030.

The spelling of 131363980 in words is "one hundred thirty-one million, three hundred sixty-three thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 367 734 1468 1627 1835 3254 3670 4037 6508 7340 8074 8135 16148 16270 17897 20185 32540 35794 40370 71588 80740 89485 178970 357940 597109 1194218 2388436 2985545 5971090 6568199 11942180 13136398 26272796 32840995 65681990 131363980