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131819506 = 27213107967
BaseRepresentation
bin1111101101101…
…10011111110010
3100012001010100221
413312312133302
5232221211011
621025203254
73160306300
oct766663762
9305033327
10131819506
1168454a45
123819052a
1321404a10
1413715270
15b88c971
hex7db67f2

131819506 has 48 divisors (see below), whose sum is σ = 250278336. Its totient is φ = 51607584.

The previous prime is 131819491. The next prime is 131819539. The reversal of 131819506 is 605918131.

Together with 118458830 it forms an amicable pair .

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, 135835 + ... + 136801.

It is an arithmetic number, because the mean of its divisors is an integer number (5214132).

Almost surely, 2131819506 is an apocalyptic number.

131819506 is a deficient number, since it is larger than the sum of its proper divisors (118458830).

131819506 is a wasteful number, since it uses less digits than its factorization.

131819506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The square root of 131819506 is about 11481.2676129424. The cubic root of 131819506 is about 508.9321576034.

The spelling of 131819506 in words is "one hundred thirty-one million, eight hundred nineteen thousand, five hundred six".

Divisors: 1 2 7 13 14 26 49 91 98 107 182 214 637 749 967 1274 1391 1498 1934 2782 5243 6769 9737 10486 12571 13538 19474 25142 47383 68159 87997 94766 103469 136318 175994 206938 615979 724283 1231958 1345097 1448566 2690194 5069981 9415679 10139962 18831358 65909753 131819506