Search a number
-
+
131499342 = 23313199859
BaseRepresentation
bin1111101011010…
…00010101001110
3100011102212012000
413311220111032
5232130434332
621014253130
73154504002
oct765502516
9304385160
10131499342
1168256447
12380571a6
1321322080
1413670702
15b827b7c
hex7d6854e

131499342 has 64 divisors (see below), whose sum is σ = 331296000. Its totient is φ = 38327904.

The previous prime is 131499337. The next prime is 131499367. The reversal of 131499342 is 243994131.

131499342 is a `hidden beast` number, since 131 + 499 + 34 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131499297 and 131499306.

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, 8409 + ... + 18267.

It is an arithmetic number, because the mean of its divisors is an integer number (5176500).

Almost surely, 2131499342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131499342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165648000).

131499342 is an abundant number, since it is smaller than the sum of its proper divisors (199796658).

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

131499342 is a wasteful number, since it uses less digits than its factorization.

131499342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9902 (or 9896 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 131499342 is about 11467.3162509804. The cubic root of 131499342 is about 508.5197910867.

It can be divided in two parts, 131499 and 342, that added together give a triangular number (131841 = T513).

The spelling of 131499342 in words is "one hundred thirty-one million, four hundred ninety-nine thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 494 513 702 741 1026 1482 2223 4446 6669 9859 13338 19718 29577 59154 88731 128167 177462 187321 256334 266193 374642 384501 532386 561963 769002 1123926 1153503 1685889 2307006 2435173 3371778 3460509 4870346 5057667 6921018 7305519 10115334 14611038 21916557 43833114 65749671 131499342