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131115421314 = 232171186736107
BaseRepresentation
bin111101000011100010…
…1101000111010000010
3110112102122210112000100
41322013011220322002
54122011021440224
6140122242303230
712321106456353
oct1720705507202
9415378715010
10131115421314
1150673267729
12214b2357b16
13c496cc4847
1464bb69dd2a
153625c43ac9
hex1e87168e82

131115421314 has 48 divisors (see below), whose sum is σ = 300827880288. Its totient is φ = 41129644416.

The previous prime is 131115421313. The next prime is 131115421321. The reversal of 131115421314 is 413124511131.

131115421314 is a `hidden beast` number, since 1 + 3 + 111 + 542 + 1 + 3 + 1 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (131115421313) 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 23 ways as a sum of consecutive naturals, for example, 3613249 + ... + 3649355.

It is an arithmetic number, because the mean of its divisors is an integer number (6267247506).

Almost surely, 2131115421314 is an apocalyptic number.

131115421314 is an abundant number, since it is smaller than the sum of its proper divisors (169712458974).

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

131115421314 is a wasteful number, since it uses less digits than its factorization.

131115421314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47999 (or 47996 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

Adding to 131115421314 its reverse (413124511131), we get a palindrome (544239932445).

The spelling of 131115421314 in words is "one hundred thirty-one billion, one hundred fifteen million, four hundred twenty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 11867 23734 35601 36107 71202 72214 106803 108321 201739 213606 216642 324963 403478 605217 613819 649926 1210434 1227638 1815651 1841457 3631302 3682914 5524371 11048742 428481769 856963538 1285445307 2570890614 3856335921 7284190073 7712671842 14568380146 21852570219 43705140438 65557710657 131115421314