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123313023133 = 3719317268313
BaseRepresentation
bin111001011011000000…
…1110110100010011101
3102210021220012121211221
41302312001312202131
54010021113220013
6132352122013341
711623545254656
oct1626601664235
9383256177757
10123313023133
1148329a94473
121ba95347251
13b8226a92a1
145d7b35252d
15331ac7c08d
hex1cb607689d

123313023133 has 8 divisors (see below), whose sum is σ = 127302010808. Its totient is φ = 119358572544.

The previous prime is 123313023073. The next prime is 123313023137. The reversal of 123313023133 is 331320313321.

It can be written as a sum of positive squares in 4 ways, for example, as 60180430489 + 63132592644 = 245317^2 + 251262^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123313023133 is a prime.

It is a super-2 number, since 2×1233130231332 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123313023098 and 123313023107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123313023137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8627016 + ... + 8641297.

It is an arithmetic number, because the mean of its divisors is an integer number (15912751351).

Almost surely, 2123313023133 is an apocalyptic number.

It is an amenable number.

123313023133 is a deficient number, since it is larger than the sum of its proper divisors (3988987675).

123313023133 is a wasteful number, since it uses less digits than its factorization.

123313023133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17268543.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 123313023133 its reverse (331320313321), we get a palindrome (454633336454).

The spelling of 123313023133 in words is "one hundred twenty-three billion, three hundred thirteen million, twenty-three thousand, one hundred thirty-three".

Divisors: 1 37 193 7141 17268313 638927581 3332784409 123313023133