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131180196 = 223747149223
BaseRepresentation
bin1111101000110…
…10011010100100
3100010211122101210
413310122122210
5232040231241
621003351420
73152004360
oct764323244
9303748353
10131180196
1168058694
1237b22570
132123ca24
14135ca2a0
15b7b3316
hex7d1a6a4

131180196 has 96 divisors (see below), whose sum is σ = 361267200. Its totient is φ = 36273024.

The previous prime is 131180183. The next prime is 131180209. The reversal of 131180196 is 691081131.

It is an interprime number because it is at equal distance from previous prime (131180183) and next prime (131180209).

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, 588141 + ... + 588363.

It is an arithmetic number, because the mean of its divisors is an integer number (3763200).

Almost surely, 2131180196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131180196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180633600).

131180196 is an abundant number, since it is smaller than the sum of its proper divisors (230087004).

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

131180196 is a wasteful number, since it uses less digits than its factorization.

131180196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 131180196 is about 11453.3923358977. The cubic root of 131180196 is about 508.1080690579.

The spelling of 131180196 in words is "one hundred thirty-one million, one hundred eighty thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 149 188 223 282 298 329 446 447 564 596 658 669 892 894 987 1043 1316 1338 1561 1788 1974 2086 2676 3122 3129 3948 4172 4683 6244 6258 7003 9366 10481 12516 14006 18732 20962 21009 28012 31443 33227 41924 42018 49021 62886 66454 73367 84036 98042 99681 125772 132908 146734 147063 196084 199362 220101 232589 293468 294126 398724 440202 465178 588252 697767 880404 930356 1395534 1561669 2791068 3123338 4685007 6246676 9370014 10931683 18740028 21863366 32795049 43726732 65590098 131180196