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131265108 = 223213416841
BaseRepresentation
bin1111101001011…
…11001001010100
3100010222221212200
413310233021110
5232100440413
621005244500
73152510052
oct764571124
9303887780
10131265108
1168106467
1237b63730
132126c580
141360d1d2
15b7cd573
hex7d2f254

131265108 has 72 divisors (see below), whose sum is σ = 366101736. Its totient is φ = 39398400.

The previous prime is 131265097. The next prime is 131265131. The reversal of 131265108 is 801562131.

131265108 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 651 + 0 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 345744 + 130919364 = 588^2 + 11442^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15768 + ... + 22608.

Almost surely, 2131265108 is an apocalyptic number.

131265108 is a gapful number since it is divisible by the number (18) 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 131265108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183050868).

131265108 is an abundant number, since it is smaller than the sum of its proper divisors (234836628).

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

131265108 is a wasteful number, since it uses less digits than its factorization.

131265108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6905 (or 6900 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 131265108 is about 11457.0985855931. The cubic root of 131265108 is about 508.2176769814.

The spelling of 131265108 in words is "one hundred thirty-one million, two hundred sixty-five thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 41 52 78 82 117 123 156 164 234 246 369 468 492 533 738 1066 1476 1599 2132 3198 4797 6396 6841 9594 13682 19188 20523 27364 41046 61569 82092 88933 123138 177866 246276 266799 280481 355732 533598 560962 800397 841443 1067196 1121924 1600794 1682886 2524329 3201588 3365772 3646253 5048658 7292506 10097316 10938759 14585012 21877518 32816277 43755036 65632554 131265108