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131321106609 = 371117291153123
BaseRepresentation
bin111101001001101011…
…0010001000010110001
3110112221222211102012020
41322103112101002301
54122421200402414
6140154511022053
712326154663060
oct1722326210261
9415858742166
10131321106609
1150769383080
122154b20a929
13c4ca7bc814
1464dab221d7
153638d227a9
hex1e935910b1

131321106609 has 64 divisors (see below), whose sum is σ = 239111792640. Its totient is φ = 61991838720.

The previous prime is 131321106607. The next prime is 131321106617. The reversal of 131321106609 is 906601123131.

It is not a de Polignac number, because 131321106609 - 21 = 131321106607 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 131321106609.

It is not an unprimeable number, because it can be changed into a prime (131321106601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 462679 + ... + 690444.

It is an arithmetic number, because the mean of its divisors is an integer number (3736121760).

Almost surely, 2131321106609 is an apocalyptic number.

It is an amenable number.

131321106609 is a deficient number, since it is larger than the sum of its proper divisors (107790686031).

131321106609 is a wasteful number, since it uses less digits than its factorization.

131321106609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153190.

The product of its (nonzero) digits is 5832, while the sum is 33.

The spelling of 131321106609 in words is "one hundred thirty-one billion, three hundred twenty-one million, one hundred six thousand, six hundred nine".

Divisors: 1 3 7 11 17 21 29 33 51 77 87 119 187 203 231 319 357 493 561 609 957 1309 1479 2233 3451 3927 5423 6699 10353 16269 37961 113883 1153123 3459369 8071861 12684353 19603091 24215583 33440567 38053059 58809273 88790471 100321701 137221637 215634001 234083969 266371413 367846237 411664911 568489639 646902003 702251907 1103538711 1509438007 1705468917 2574923659 3979427473 4528314021 6253386029 7724770977 11938282419 18760158087 43773702203 131321106609