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12001231310031 = 32174011511129457
BaseRepresentation
bin1010111010100100000100…
…1000010000110011001111
31120111022021110000010121200
42232221001020100303033
53033112010203410111
641305142313200543
72346026461663455
oct256510110206317
946438243003550
1012001231310031
11390776a2262a7
121419b04100153
136909328273c2
142d6c1133c9d5
1515c2a6093256
hexaea41210ccf

12001231310031 has 48 divisors (see below), whose sum is σ = 18412916977728. Its totient is φ = 7506376704000.

The previous prime is 12001231310017. The next prime is 12001231310051. The reversal of 12001231310031 is 13001313210021.

12001231310031 is a `hidden beast` number, since 1 + 200 + 123 + 1 + 310 + 0 + 31 = 666.

It is not a de Polignac number, because 12001231310031 - 26 = 12001231309967 is a prime.

It is a super-2 number, since 2×120012313100312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12001231309986 and 12001231310013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001231310011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92639655 + ... + 92769111.

It is an arithmetic number, because the mean of its divisors is an integer number (383602437036).

Almost surely, 212001231310031 is an apocalyptic number.

12001231310031 is a deficient number, since it is larger than the sum of its proper divisors (6411685667697).

12001231310031 is a wasteful number, since it uses less digits than its factorization.

12001231310031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131392 (or 131389 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12001231310031 its reverse (13001313210021), we get a palindrome (25002544520052).

The spelling of 12001231310031 in words is "twelve trillion, one billion, two hundred thirty-one million, three hundred ten thousand, thirty-one".

Divisors: 1 3 9 17 51 153 401 1203 1511 3609 4533 6817 13599 20451 25687 61353 77061 129457 231183 388371 605911 1165113 1817733 2200769 5453199 6602307 10300487 19806921 30901461 51912257 92704383 155736771 195609527 467210313 586828581 882508369 1760485743 2647525107 3325361959 7942575321 9976085877 29928257631 78439420327 235318260981 705954782943 1333470145559 4000410436677 12001231310031