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131630906 = 21153791429
BaseRepresentation
bin1111101100010…
…00011100111010
3100011200112122202
413312020130322
5232144142111
621021150202
73155562401
oct766103472
9304615582
10131630906
1168336280
12380bb362
1321369c14
14136a6638
15b851b3b
hex7d8873a

131630906 has 32 divisors (see below), whose sum is σ = 222393600. Its totient is φ = 57919680.

The previous prime is 131630887. The next prime is 131630927. The reversal of 131630906 is 609036131.

131630906 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91400 + ... + 92828.

It is an arithmetic number, because the mean of its divisors is an integer number (6949800).

Almost surely, 2131630906 is an apocalyptic number.

131630906 is a deficient number, since it is larger than the sum of its proper divisors (90762694).

131630906 is a wasteful number, since it uses less digits than its factorization.

131630906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574.

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 131630906 is about 11473.0512942286. The cubic root of 131630906 is about 508.6893245035.

The spelling of 131630906 in words is "one hundred thirty-one million, six hundred thirty thousand, nine hundred six".

Divisors: 1 2 11 22 53 79 106 158 583 869 1166 1429 1738 2858 4187 8374 15719 31438 46057 75737 92114 112891 151474 225782 833107 1241801 1666214 2483602 5983223 11966446 65815453 131630906