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131303080 = 2354397787
BaseRepresentation
bin1111101001110…
…00011010101000
3100011001212222001
413310320122220
5232103144310
621010140344
73153025546
oct764703250
9304055861
10131303080
1168131a47
1237b816b4
132128393c
141361cd96
15b7d993a
hex7d386a8

131303080 has 64 divisors (see below), whose sum is σ = 305807040. Its totient is φ = 50706432.

The previous prime is 131303077. The next prime is 131303083. The reversal of 131303080 is 80303131.

It is an interprime number because it is at equal distance from previous prime (131303077) and next prime (131303083).

It is not an unprimeable number, because it can be changed into a prime (131303083) 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, 166447 + ... + 167233.

It is an arithmetic number, because the mean of its divisors is an integer number (4778235).

Almost surely, 2131303080 is an apocalyptic number.

131303080 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 131303080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152903520).

131303080 is an abundant number, since it is smaller than the sum of its proper divisors (174503960).

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

131303080 is a wasteful number, since it uses less digits than its factorization.

131303080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 131303080 is about 11458.7556043403. The cubic root of 131303080 is about 508.2666775152.

The spelling of 131303080 in words is "one hundred thirty-one million, three hundred three thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 43 86 97 172 194 215 344 388 430 485 776 787 860 970 1574 1720 1940 3148 3880 3935 4171 6296 7870 8342 15740 16684 20855 31480 33368 33841 41710 67682 76339 83420 135364 152678 166840 169205 270728 305356 338410 381695 610712 676820 763390 1353640 1526780 3053560 3282577 6565154 13130308 16412885 26260616 32825770 65651540 131303080