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131252334381 = 3273195474091
BaseRepresentation
bin111101000111100111…
…1111010111100101101
3110112210012102102102200
41322033033322330231
54122301044200011
6140144013012113
712324361302000
oct1721717727455
9415705372380
10131252334381
1150733580523
1221530184039
13c4b9490aac
1464d193d537
153632c8a856
hex1e8f3faf2d

131252334381 has 96 divisors (see below), whose sum is σ = 233211264000. Its totient is φ = 70906661280.

The previous prime is 131252334349. The next prime is 131252334397. The reversal of 131252334381 is 183433252131.

131252334381 is a `hidden beast` number, since 1 + 3 + 12 + 523 + 3 + 43 + 81 = 666.

It is not a de Polignac number, because 131252334381 - 25 = 131252334349 is a prime.

It is a super-2 number, since 2×1312523343812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131252334341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32081146 + ... + 32085236.

It is an arithmetic number, because the mean of its divisors is an integer number (2429284000).

Almost surely, 2131252334381 is an apocalyptic number.

It is an amenable number.

131252334381 is a deficient number, since it is larger than the sum of its proper divisors (101958929619).

131252334381 is a wasteful number, since it uses less digits than its factorization.

131252334381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4684 (or 4667 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 131252334381 in words is "one hundred thirty-one billion, two hundred fifty-two million, three hundred thirty-four thousand, three hundred eighty-one".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 343 399 441 547 931 1029 1197 1641 2793 3087 3829 4091 4923 6517 8379 10393 11487 12273 19551 26803 28637 31179 34461 36819 58653 72751 77729 80409 85911 93537 187621 200459 218253 233187 241227 257733 509257 544103 562863 601377 654759 699561 1403213 1527771 1632309 1688589 1804131 2237777 3564799 3808721 4209639 4583313 4896927 6713331 10694397 11426163 12628917 15664439 20139993 26661047 32083191 34278489 42517763 46993317 79983141 109651073 127553289 140979951 239949423 297624341 328953219 382659867 767557511 892873023 986859657 2083370387 2302672533 2678619069 6250111161 6908017599 14583592709 18750333483 43750778127 131252334381