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131128635 = 351123109317
BaseRepresentation
bin1111101000011…
…01110100111011
3100010202000200010
413310031310323
5232032104020
621002313003
73151401141
oct764156473
9303660603
10131128635
1168022980
1237ab8763
1321222411
14135b5591
15b7a2de0
hex7d0dd3b

131128635 has 64 divisors (see below), whose sum is σ = 241781760. Its totient is φ = 60065280.

The previous prime is 131128609. The next prime is 131128651. The reversal of 131128635 is 536821131.

It is not a de Polignac number, because 131128635 - 27 = 131128507 is a prime.

It is an unprimeable number.

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, 413497 + ... + 413813.

It is an arithmetic number, because the mean of its divisors is an integer number (3777840).

Almost surely, 2131128635 is an apocalyptic number.

131128635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131128635 is a deficient number, since it is larger than the sum of its proper divisors (110653125).

131128635 is a wasteful number, since it uses less digits than its factorization.

131128635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468.

The product of its digits is 4320, while the sum is 30.

The square root of 131128635 is about 11451.1412095040. The cubic root of 131128635 is about 508.0414889028.

Adding to 131128635 its reverse (536821131), we get a palindrome (667949766).

The spelling of 131128635 in words is "one hundred thirty-one million, one hundred twenty-eight thousand, six hundred thirty-five".

Divisors: 1 3 5 11 15 23 33 55 69 109 115 165 253 317 327 345 545 759 951 1199 1265 1585 1635 2507 3487 3597 3795 4755 5995 7291 7521 10461 12535 17435 17985 21873 27577 34553 36455 37605 52305 80201 82731 103659 109365 137885 172765 240603 380083 401005 413655 518295 794719 1140249 1203015 1900415 2384157 3973595 5701245 8741909 11920785 26225727 43709545 131128635