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131194116 = 2232232832
BaseRepresentation
bin1111101000111…
…01110100000100
3100010212100111100
413310131310010
5232041202431
621003540100
73152063064
oct764356404
9303770440
10131194116
1168068099
1237b2a630
1321246171
14135d13a4
15b7b74e6
hex7d1dd04

131194116 has 81 divisors (see below), whose sum is σ = 350902279. Its totient is φ = 41326032.

The previous prime is 131194097. The next prime is 131194153. The reversal of 131194116 is 611491131.

The square root of 131194116 is 11454.

It is a perfect power (a square), and thus also a powerful number.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131194116.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1580611 + ... + 1580693.

Almost surely, 2131194116 is an apocalyptic number.

131194116 is the 11454-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131194116

131194116 is an abundant number, since it is smaller than the sum of its proper divisors (219708163).

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

131194116 is a wasteful number, since it uses less digits than its factorization.

131194116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 111 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The cubic root of 131194116 is about 508.1260408107.

The spelling of 131194116 in words is "one hundred thirty-one million, one hundred ninety-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 83 92 138 166 207 249 276 332 414 498 529 747 828 996 1058 1494 1587 1909 2116 2988 3174 3818 4761 5727 6348 6889 7636 9522 11454 13778 17181 19044 20667 22908 27556 34362 41334 43907 62001 68724 82668 87814 124002 131721 158447 175628 248004 263442 316894 395163 475341 526884 633788 790326 950682 1426023 1580652 1901364 2852046 3644281 5704092 7288562 10932843 14577124 21865686 32798529 43731372 65597058 131194116