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312332020011 = 33111922913083
BaseRepresentation
bin1001000101110000111…
…00000110100100101011
31002212011221210112221000
410202320130012210223
520104123444120021
6355252223050043
731364610236424
oct4427034064453
91085157715830
10312332020011
11110506312480
1250647440923
13235b69c277b
141118ccaa64b
1581d0165b26
hex48b870692b

312332020011 has 48 divisors (see below), whose sum is σ = 532744801920. Its totient is φ = 179329327920.

The previous prime is 312332019991. The next prime is 312332020019. The reversal of 312332020011 is 110020233213.

312332020011 is a `hidden beast` number, since 312 + 3 + 320 + 20 + 0 + 11 = 666.

It is not a de Polignac number, because 312332020011 - 221 = 312329922859 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312332020019) 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, 1349325 + ... + 1563758.

It is an arithmetic number, because the mean of its divisors is an integer number (11098850040).

Almost surely, 2312332020011 is an apocalyptic number.

312332020011 is a deficient number, since it is larger than the sum of its proper divisors (220412781909).

312332020011 is a wasteful number, since it uses less digits than its factorization.

312332020011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913141 (or 2913116 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 312332020011 its reverse (110020233213), we get a palindrome (422352253224).

The spelling of 312332020011 in words is "three hundred twelve billion, three hundred thirty-two million, twenty thousand, eleven".

Divisors: 1 3 9 11 19 27 33 57 99 171 209 297 361 513 627 1083 1881 3249 3971 5643 9747 11913 35739 107217 2913083 8739249 26217747 32043913 55348577 78653241 96131739 166045731 288395217 498137193 608834347 865185651 1051622963 1494411579 1826503041 3154868889 5479509123 9464606667 11567852593 16438527369 28393820001 34703557779 104110673337 312332020011