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12302331031331 = 113089969737337
BaseRepresentation
bin1011001100000101110000…
…0100100010111100100011
31121120002110121020210101022
42303001130010202330203
53103030133221000311
642055340213200055
72406546142251515
oct263013404427443
947502417223338
1012302331031331
113a13431167480
12146833593002b
136b3149439b73
14307616549bb5
1516502a0805db
hexb305c122f23

12302331031331 has 16 divisors (see below), whose sum is σ = 13426813501920. Its totient is φ = 11178864353280.

The previous prime is 12302331031327. The next prime is 12302331031357. The reversal of 12302331031331 is 13313013320321.

It is a cyclic number.

It is not a de Polignac number, because 12302331031331 - 22 = 12302331031327 is a prime.

It is a super-2 number, since 2×123023310313312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12302331031331.

It is not an unprimeable number, because it can be changed into a prime (12302331031231) 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 15 ways as a sum of consecutive naturals, for example, 329475695 + ... + 329513031.

It is an arithmetic number, because the mean of its divisors is an integer number (839175843870).

Almost surely, 212302331031331 is an apocalyptic number.

12302331031331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12302331031331 is a deficient number, since it is larger than the sum of its proper divisors (1124482470589).

12302331031331 is a wasteful number, since it uses less digits than its factorization.

12302331031331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50134.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 12302331031331 its reverse (13313013320321), we get a palindrome (25615344351652).

The spelling of 12302331031331 in words is "twelve trillion, three hundred two billion, three hundred thirty-one million, thirty-one thousand, three hundred thirty-one".

Divisors: 1 11 3089 9697 33979 37337 106667 410707 29954033 115333993 329494363 362056889 1268673923 3982625779 1118393730121 12302331031331