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131113332351 = 32611373974391
BaseRepresentation
bin111101000011011110…
…1101010111001111111
3110112102111212101111100
41322012331222321333
54122010003113401
6140122125424143
712321052636161
oct1720675527177
9415374771440
10131113332351
1150672070211
12214b170b053
13c496742a81
1464bb2b8931
15362597eb86
hex1e86f6ae7f

131113332351 has 48 divisors (see below), whose sum is σ = 194428323648. Its totient is φ = 85114022400.

The previous prime is 131113332313. The next prime is 131113332359. The reversal of 131113332351 is 153233311131.

It is a happy number.

131113332351 is a `hidden beast` number, since 1 + 311 + 13 + 332 + 3 + 5 + 1 = 666.

It is not a de Polignac number, because 131113332351 - 234 = 113933463167 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131113332359) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29857366 + ... + 29861756.

It is an arithmetic number, because the mean of its divisors is an integer number (4050590076).

Almost surely, 2131113332351 is an apocalyptic number.

131113332351 is a deficient number, since it is larger than the sum of its proper divisors (63314991297).

131113332351 is a wasteful number, since it uses less digits than its factorization.

131113332351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4992 (or 4989 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

Adding to 131113332351 its reverse (153233311131), we get a palindrome (284346643482).

The spelling of 131113332351 in words is "one hundred thirty-one billion, one hundred thirteen million, three hundred thirty-two thousand, three hundred fifty-one".

Divisors: 1 3 9 61 137 183 397 411 549 1191 1233 3573 4391 8357 13173 24217 25071 39519 54389 72651 75213 163167 217953 267851 489501 601567 803553 1743227 1804701 2410659 3317729 5229681 5414103 9953187 15689043 29859561 36695587 106336847 110086761 238822099 319010541 330260283 716466297 957031623 2149398891 14568148039 43704444117 131113332351