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131061366 = 23231349673
BaseRepresentation
bin1111100111111…
…01011001110110
3100010121121101200
413303331121312
5232022430431
621001033330
73151001052
oct763753166
9303547350
10131061366
1167a87387
1237a85846
13211ca907
1413598c62
15b78cee6
hex7cfd676

131061366 has 48 divisors (see below), whose sum is σ = 294403200. Its totient is φ = 42094080.

The previous prime is 131061349. The next prime is 131061389. The reversal of 131061366 is 663160131.

It is a happy number.

It is a Curzon number.

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 23 ways as a sum of consecutive naturals, for example, 194406 + ... + 195078.

It is an arithmetic number, because the mean of its divisors is an integer number (6133400).

Almost surely, 2131061366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131061366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147201600).

131061366 is an abundant number, since it is smaller than the sum of its proper divisors (163341834).

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

131061366 is a wasteful number, since it uses less digits than its factorization.

131061366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 131061366 is about 11448.2036145415. The cubic root of 131061366 is about 507.9545989351.

The spelling of 131061366 in words is "one hundred thirty-one million, sixty-one thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 349 558 673 698 1047 1346 2019 2094 3141 4038 6057 6282 10819 12114 20863 21638 32457 41726 62589 64914 97371 125178 187767 194742 234877 375534 469754 704631 1409262 2113893 4227786 7281187 14562374 21843561 43687122 65530683 131061366