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131855196 = 223111767877
BaseRepresentation
bin1111101101111…
…11001101011100
3100012002221022210
413312333031130
5232223331241
621030040420
73160515324
oct766771534
9305087283
10131855196
1168479840
12381a9110
1321418035
1413724284
15b898316
hex7dbf35c

131855196 has 96 divisors (see below), whose sum is σ = 361089792. Its totient is φ = 37002240.

The previous prime is 131855173. The next prime is 131855209. The reversal of 131855196 is 691558131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149910 + ... + 150786.

It is an arithmetic number, because the mean of its divisors is an integer number (3761352).

Almost surely, 2131855196 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 131855196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180544896).

131855196 is an abundant number, since it is smaller than the sum of its proper divisors (229234596).

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

131855196 is a wasteful number, since it uses less digits than its factorization.

131855196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 977 counting only the distinct ones).

The product of its digits is 32400, while the sum is 39.

The square root of 131855196 is about 11482.8217786396. The cubic root of 131855196 is about 508.9780844171.

It can be divided in two parts, 13185 and 5196, that added together give a palindrome (18381).

The spelling of 131855196 in words is "one hundred thirty-one million, eight hundred fifty-five thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 67 68 102 132 134 187 201 204 268 374 402 561 737 748 804 877 1122 1139 1474 1754 2211 2244 2278 2631 2948 3417 3508 4422 4556 5262 6834 8844 9647 10524 12529 13668 14909 19294 25058 28941 29818 37587 38588 44727 50116 57882 58759 59636 75174 89454 115764 117518 150348 163999 176277 178908 235036 327998 352554 491997 646349 655996 705108 983994 998903 1292698 1939047 1967988 1997806 2585396 2996709 3878094 3995612 5993418 7756188 10987933 11986836 21975866 32963799 43951732 65927598 131855196