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131147196 = 223192389281
BaseRepresentation
bin1111101000100…
…10010110111100
3100010202222010120
413310102112330
5232033202241
621002534540
73151506225
oct764222674
9303688116
10131147196
1168035914
1237b07450
132122a9bb
14135bc24c
15b7a8666
hex7d125bc

131147196 has 96 divisors (see below), whose sum is σ = 341107200. Its totient is φ = 39029760.

The previous prime is 131147183. The next prime is 131147209. The reversal of 131147196 is 691741131.

It is an interprime number because it is at equal distance from previous prime (131147183) and next prime (131147209).

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, 466576 + ... + 466856.

It is an arithmetic number, because the mean of its divisors is an integer number (3553200).

Almost surely, 2131147196 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 131147196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170553600).

131147196 is an abundant number, since it is smaller than the sum of its proper divisors (209960004).

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

131147196 is a wasteful number, since it uses less digits than its factorization.

131147196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 417 counting only the distinct ones).

The product of its digits is 4536, while the sum is 33.

The square root of 131147196 is about 11451.9516240683. The cubic root of 131147196 is about 508.0654585292.

It can be divided in two parts, 1311 and 47196, that multiplied together give a square (61873956 = 78662).

The spelling of 131147196 in words is "one hundred thirty-one million, one hundred forty-seven thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 89 92 114 138 178 228 267 276 281 356 437 534 562 843 874 1068 1124 1311 1686 1691 1748 2047 2622 3372 3382 4094 5073 5244 5339 6141 6463 6764 8188 10146 10678 12282 12926 16017 19389 20292 21356 24564 25009 25852 32034 38778 38893 50018 64068 75027 77556 77786 100036 116679 122797 150054 155572 233358 245594 300108 368391 466716 475171 491188 575207 736782 950342 1150414 1425513 1473564 1725621 1900684 2300828 2851026 3451242 5702052 6902484 10928933 21857866 32786799 43715732 65573598 131147196