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12011331231 = 322815418779
BaseRepresentation
bin10110010111110111…
…00101111010011111
31011000002102211212200
423023323211322133
5144044400044411
65303512302543
7603436426254
oct131373457237
934002384780
1012011331231
1151040a0a29
1223b26a1a53
1311956012b3
1481d32b42b
154a475ce56
hex2cbee5e9f

12011331231 has 24 divisors (see below), whose sum is σ = 17445614160. Its totient is φ = 7963401600.

The previous prime is 12011331203. The next prime is 12011331281. The reversal of 12011331231 is 13213311021.

It is not a de Polignac number, because 12011331231 - 213 = 12011323039 is a prime.

It is a super-2 number, since 2×120113312312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011331281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1363800 + ... + 1372578.

It is an arithmetic number, because the mean of its divisors is an integer number (726900590).

Almost surely, 212011331231 is an apocalyptic number.

12011331231 is a deficient number, since it is larger than the sum of its proper divisors (5434282929).

12011331231 is a wasteful number, since it uses less digits than its factorization.

12011331231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9607 (or 9604 counting only the distinct ones).

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

Adding to 12011331231 its reverse (13213311021), we get a palindrome (25224642252).

The spelling of 12011331231 in words is "twelve billion, eleven million, three hundred thirty-one thousand, two hundred thirty-one".

Divisors: 1 3 9 281 541 843 1623 2529 4869 8779 26337 79011 152021 456063 1368189 2466899 4749439 7400697 14248317 22202091 42744951 1334592359 4003777077 12011331231