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131095020 = 22357457683
BaseRepresentation
bin1111101000001…
…01100111101100
3100010200022120010
413310011213230
5232030020040
621001453220
73151201140
oct764054754
9303608503
10131095020
1167aaa6a1
1237aa1210
1321210024
14135a7220
15b797e80
hex7d059ec

131095020 has 96 divisors (see below), whose sum is σ = 421037568. Its totient is φ = 29855232.

The previous prime is 131094983. The next prime is 131095021. The reversal of 131095020 is 20590131.

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

It is not an unprimeable number, because it can be changed into a prime (131095021) 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, 191599 + ... + 192281.

It is an arithmetic number, because the mean of its divisors is an integer number (4385808).

Almost surely, 2131095020 is an apocalyptic number.

131095020 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 131095020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210518784).

131095020 is an abundant number, since it is smaller than the sum of its proper divisors (289942548).

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

131095020 is a wasteful number, since it uses less digits than its factorization.

131095020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 131095020 is about 11449.6733577862. The cubic root of 131095020 is about 507.9980728222.

The spelling of 131095020 in words is "one hundred thirty-one million, ninety-five thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 457 683 914 1366 1371 1828 2049 2285 2732 2742 3199 3415 4098 4570 4781 5484 6398 6830 6855 8196 9140 9562 9597 10245 12796 13660 13710 14343 15995 19124 19194 20490 23905 27420 28686 31990 38388 40980 47810 47985 57372 63980 71715 95620 95970 143430 191940 286860 312131 624262 936393 1248524 1560655 1872786 2184917 3121310 3745572 4369834 4681965 6242620 6554751 8739668 9363930 10924585 13109502 18727860 21849170 26219004 32773755 43698340 65547510 131095020