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312232002133 = 83137103126633
BaseRepresentation
bin1001000101100100111…
…10100100001001010101
31002211220222121010012011
410202302132210021111
520103422343032013
6355234251224221
731362254141212
oct4426236441125
91084828533164
10312232002133
11110464909577
1250619a48071
132359c073aac
141117d8b2b09
1581c64aac3d
hex48b27a4255

312232002133 has 16 divisors (see below), whose sum is σ = 318621050496. Its totient is φ = 305910065920.

The previous prime is 312232002091. The next prime is 312232002163. The reversal of 312232002133 is 331200232213.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312232002133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312232002163) 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 15 ways as a sum of consecutive naturals, for example, 11710185 + ... + 11736817.

It is an arithmetic number, because the mean of its divisors is an integer number (19913815656).

Almost surely, 2312232002133 is an apocalyptic number.

It is an amenable number.

312232002133 is a deficient number, since it is larger than the sum of its proper divisors (6389048363).

312232002133 is a wasteful number, since it uses less digits than its factorization.

312232002133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27884.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 312232002133 its reverse (331200232213), we get a palindrome (643432234346).

The spelling of 312232002133 in words is "three hundred twelve billion, two hundred thirty-two million, two thousand, one hundred thirty-three".

Divisors: 1 83 137 1031 11371 26633 85573 141247 2210539 3648721 11723501 27458623 302843843 2279065709 3761831351 312232002133