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131061120 = 273568261
BaseRepresentation
bin1111100111111…
…01010110000000
3100010121121001120
413303331112000
5232022423440
621001032240
73151000251
oct763752600
9303547046
10131061120
1167a87183
1237a85680
13211ca778
1413598b28
15b78cdd0
hex7cfd580

131061120 has 64 divisors (see below), whose sum is σ = 417763440. Its totient is φ = 34949120.

The previous prime is 131061023. The next prime is 131061131. The reversal of 131061120 is 21160131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131061120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32211 + ... + 36050.

Almost surely, 2131061120 is an apocalyptic number.

131061120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131061120 is an abundant number, since it is smaller than the sum of its proper divisors (286702320).

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

131061120 is an equidigital number, since it uses as much as digits as its factorization.

131061120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68283 (or 68271 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 131061120 is about 11448.1928704927. The cubic root of 131061120 is about 507.9542811274.

The spelling of 131061120 in words is "one hundred thirty-one million, sixty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 68261 136522 204783 273044 341305 409566 546088 682610 819132 1023915 1092176 1365220 1638264 2047830 2184352 2730440 3276528 4095660 4368704 5460880 6553056 8191320 8737408 10921760 13106112 16382640 21843520 26212224 32765280 43687040 65530560 131061120