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131371500 = 22353136737
BaseRepresentation
bin1111101010010…
…01000111101100
3100011012100211010
413311021013230
5232112342000
621011425220
73153432201
oct765110754
9304170733
10131371500
1168179397
1237bb5210
13212a8b20
1413639ca8
15b7eed50
hex7d491ec

131371500 has 96 divisors (see below), whose sum is σ = 412042176. Its totient is φ = 32332800.

The previous prime is 131371489. The next prime is 131371507. The reversal of 131371500 is 5173131.

It is not an unprimeable number, because it can be changed into a prime (131371507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16132 + ... + 22868.

It is an arithmetic number, because the mean of its divisors is an integer number (4292106).

Almost surely, 2131371500 is an apocalyptic number.

131371500 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 131371500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206021088).

131371500 is an abundant number, since it is smaller than the sum of its proper divisors (280670676).

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

131371500 is a wasteful number, since it uses less digits than its factorization.

131371500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6772 (or 6760 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 21.

The square root of 131371500 is about 11461.7407054950. The cubic root of 131371500 is about 508.3549454814.

The spelling of 131371500 in words is "one hundred thirty-one million, three hundred seventy-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 125 130 150 156 195 250 260 300 325 375 390 500 650 750 780 975 1300 1500 1625 1950 3250 3900 4875 6500 6737 9750 13474 19500 20211 26948 33685 40422 67370 80844 87581 101055 134740 168425 175162 202110 262743 336850 350324 404220 437905 505275 525486 673700 842125 875810 1010550 1050972 1313715 1684250 1751620 2021100 2189525 2526375 2627430 3368500 4379050 5052750 5254860 6568575 8758100 10105500 10947625 13137150 21895250 26274300 32842875 43790500 65685750 131371500