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123233322013 = 292764919157
BaseRepresentation
bin111001011000101000…
…1110100010000011101
3102210002100020101110121
41302301101310100131
54004340212301023
6132340153434541
711621556645124
oct1626121642035
9383070211417
10123233322013
1148298aa787a
121ba7270ba51
13b80c021c69
145d70926abb
153313c86d5d
hex1cb147441d

123233322013 has 12 divisors (see below), whose sum is σ = 127652627700. Its totient is φ = 118962131456.

The previous prime is 123233321927. The next prime is 123233322019. The reversal of 123233322013 is 310223332321.

It can be written as a sum of positive squares in 6 ways, for example, as 35746330489 + 87486991524 = 189067^2 + 295782^2 .

It is not a de Polignac number, because 123233322013 - 221 = 123231224861 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 (123233322019) 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 11 ways as a sum of consecutive naturals, for example, 6423231 + ... + 6442387.

It is an arithmetic number, because the mean of its divisors is an integer number (10637718975).

Almost surely, 2123233322013 is an apocalyptic number.

It is an amenable number.

123233322013 is a deficient number, since it is larger than the sum of its proper divisors (4419305687).

123233322013 is an equidigital number, since it uses as much as digits as its factorization.

123233322013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26864 (or 26835 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 123233322013 its reverse (310223332321), we get a palindrome (433456654334).

The spelling of 123233322013 in words is "one hundred twenty-three billion, two hundred thirty-three million, three hundred twenty-two thousand, thirteen".

Divisors: 1 29 841 7649 19157 221821 555553 6432809 16111037 146531893 4249424897 123233322013