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12006202311 = 3247711492683
BaseRepresentation
bin10110010111010000…
…00001101111000111
31010222201210021022200
423023220001233013
5144042041433221
65303210325543
7603345015165
oct131350015707
933881707280
1012006202311
115101208554
1223b0a298b3
13119452692c
1481c794235
154a4098426
hex2cba01bc7

12006202311 has 48 divisors (see below), whose sum is σ = 18088012800. Its totient is φ = 7668803520.

The previous prime is 12006202303. The next prime is 12006202339. The reversal of 12006202311 is 11320260021.

12006202311 is a `hidden beast` number, since 1 + 20 + 0 + 620 + 23 + 1 + 1 = 666.

12006202311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12006202311 - 23 = 12006202303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12006202211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4473576 + ... + 4476258.

It is an arithmetic number, because the mean of its divisors is an integer number (376833600).

Almost surely, 212006202311 is an apocalyptic number.

12006202311 is a deficient number, since it is larger than the sum of its proper divisors (6081810489).

12006202311 is a wasteful number, since it uses less digits than its factorization.

12006202311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12006202311 its reverse (11320260021), we get a palindrome (23326462332).

The spelling of 12006202311 in words is "twelve billion, six million, two hundred two thousand, three hundred eleven".

Divisors: 1 3 9 47 71 141 149 213 423 447 639 1341 2683 3337 7003 8049 10011 10579 21009 24147 30033 31737 63027 95211 126101 190493 378303 399767 497213 571479 1134909 1199301 1491639 1714437 3597903 4474917 8953171 18789049 26859513 28383457 56367147 80578539 85150371 169101441 255451113 1334022479 4002067437 12006202311