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31301232331131 = 34739413119689
BaseRepresentation
bin1110001110111111000101…
…10101011000100101111011
311002211100221200220010020000
413013133202311120211323
513100314410434044011
6150323330532004043
76410303500614000
oct707374265304573
9132740850803200
1031301232331131
119a788616a1924
12361647b460623
13146090293abb9
147a2db847d8a7
1539433bec4356
hex1c77e2d5897b

31301232331131 has 80 divisors (see below), whose sum is σ = 54535264344000. Its totient is φ = 17884368867456.

The previous prime is 31301232331081. The next prime is 31301232331139. The reversal of 31301232331131 is 13113323210313.

31301232331131 is a `hidden beast` number, since 3 + 1 + 301 + 2 + 323 + 3 + 1 + 1 + 31 = 666.

It is not a de Polignac number, because 31301232331131 - 210 = 31301232330107 is a prime.

It is a super-2 number, since 2×313012323311312 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31301232331095 and 31301232331104.

It is not an unprimeable number, because it can be changed into a prime (31301232331139) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 261461535 + ... + 261581223.

It is an arithmetic number, because the mean of its divisors is an integer number (681690804300).

Almost surely, 231301232331131 is an apocalyptic number.

31301232331131 is a deficient number, since it is larger than the sum of its proper divisors (23234032012869).

31301232331131 is an equidigital number, since it uses as much as digits as its factorization.

31301232331131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129135 (or 129112 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 31301232331131 its reverse (13113323210313), we get a palindrome (44414555541444).

The spelling of 31301232331131 in words is "thirty-one trillion, three hundred one billion, two hundred thirty-two million, three hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 343 441 567 1029 1323 3087 3969 9261 9413 27783 28239 65891 84717 119689 197673 254151 359067 461237 593019 762453 837823 1077201 1383711 1779057 2513469 3228659 3231603 4151133 5337171 5864761 7540407 9685977 9694809 12453399 17594283 22621221 29057931 37360197 41053327 52782849 67863663 87173793 123159981 158348547 261521379 369479943 475045641 1108439829 1126632557 3325319487 3379897671 7886427899 10139693013 23659283697 30419079039 55204995293 70977851091 91257237117 165614985879 212933553273 386434967051 496844957637 638800659819 1159304901153 1490534872911 3477914703459 4471604618733 10433744110377 31301232331131