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131102580 = 223572831103
BaseRepresentation
bin1111101000001…
…11011101110100
3100010200200221010
413310013131310
5232030240310
621001552220
73151232160
oct764073564
9303620833
10131102580
1168005344
1237aa5670
13212135bb
14135a9ca0
15b79a320
hex7d07774

131102580 has 96 divisors (see below), whose sum is σ = 421392384. Its totient is φ = 29833344.

The previous prime is 131102519. The next prime is 131102597. The reversal of 131102580 is 85201131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118309 + ... + 119411.

It is an arithmetic number, because the mean of its divisors is an integer number (4389504).

Almost surely, 2131102580 is an apocalyptic number.

131102580 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 131102580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210696192).

131102580 is an abundant number, since it is smaller than the sum of its proper divisors (290289804).

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

131102580 is a wasteful number, since it uses less digits than its factorization.

131102580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 131102580 is about 11450.0034934492. The cubic root of 131102580 is about 508.0078377281.

The spelling of 131102580 in words is "one hundred thirty-one million, one hundred two thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 283 420 566 849 1103 1132 1415 1698 1981 2206 2830 3309 3396 3962 4245 4412 5515 5660 5943 6618 7721 7924 8490 9905 11030 11886 13236 15442 16545 16980 19810 22060 23163 23772 29715 30884 33090 38605 39620 46326 59430 66180 77210 92652 115815 118860 154420 231630 312149 463260 624298 936447 1248596 1560745 1872894 2185043 3121490 3745788 4370086 4682235 6242980 6555129 8740172 9364470 10925215 13110258 18728940 21850430 26220516 32775645 43700860 65551290 131102580