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131610006 = 23211260427
BaseRepresentation
bin1111101100000…
…11010110010110
3100011122110222200
413312003112112
5232143010011
621020505330
73155444433
oct766032626
9304573880
10131610006
1168321600
12380ab246
1321360558
141369cb8a
15b84a856
hex7d83596

131610006 has 36 divisors (see below), whose sum is σ = 313440036. Its totient is φ = 39881160.

The previous prime is 131609993. The next prime is 131610007. The reversal of 131610006 is 600016131.

131610006 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131610007) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28036 + ... + 32391.

Almost surely, 2131610006 is an apocalyptic number.

131610006 is an abundant number, since it is smaller than the sum of its proper divisors (181830030).

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

131610006 is a wasteful number, since it uses less digits than its factorization.

131610006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60457 (or 60443 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 131610006 is about 11472.1404280108. The cubic root of 131610006 is about 508.6624003058.

Adding to 131610006 its reverse (600016131), we get a palindrome (731626137).

The spelling of 131610006 in words is "one hundred thirty-one million, six hundred ten thousand, six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 60427 120854 181281 362562 543843 664697 1087686 1329394 1994091 3988182 5982273 7311667 11964546 14623334 21935001 43870002 65805003 131610006