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12322133001 = 3217111772101
BaseRepresentation
bin10110111100111010…
…01101010000001001
31011210202021012202100
423132131031100021
5200213431224001
65354414024013
7614232255003
oct133635152011
934722235670
1012322133001
1152535829a2
12247a7a8009
131214b11879
1484c713373
154c1ba2586
hex2de74d409

12322133001 has 24 divisors (see below), whose sum is σ = 18862748424. Its totient is φ = 7724505600.

The previous prime is 12322132997. The next prime is 12322133029. The reversal of 12322133001 is 10033122321.

12322133001 is a `hidden beast` number, since 12 + 322 + 1 + 330 + 0 + 1 = 666.

12322133001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 70963776 + 12251169225 = 8424^2 + 110685^2 .

It is not a de Polignac number, because 12322133001 - 22 = 12322132997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12322133401) 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 23 ways as a sum of consecutive naturals, for example, 134851 + ... + 206951.

It is an arithmetic number, because the mean of its divisors is an integer number (785947851).

Almost surely, 212322133001 is an apocalyptic number.

It is an amenable number.

12322133001 is a deficient number, since it is larger than the sum of its proper divisors (6540615423).

12322133001 is a wasteful number, since it uses less digits than its factorization.

12322133001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73241 (or 73238 counting only the distinct ones).

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

Adding to 12322133001 its reverse (10033122321), we get a palindrome (22355255322).

The spelling of 12322133001 in words is "twelve billion, three hundred twenty-two million, one hundred thirty-three thousand, one".

Divisors: 1 3 9 17 51 153 1117 3351 10053 18989 56967 72101 170901 216303 648909 1225717 3677151 11031453 80536817 241610451 724831353 1369125889 4107377667 12322133001