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123313302001134 = 23272693638204461
BaseRepresentation
bin11100000010011100011101…
…100011111101010111101110
3121011121122012001001000021100
4130002130131203331113232
5112130331120303014014
61114133203205343530
734655043402414210
oct3402343543752756
9534548161030240
10123313302001134
1136322972232553
12119b6b3b407ba6
1353a65188a8a5b
1422645779a85b0
15e3c9de262009
hex70271d8fd5ee

123313302001134 has 48 divisors (see below), whose sum is σ = 306482343878880. Its totient is φ = 35101396630080.

The previous prime is 123313302001121. The next prime is 123313302001157. The reversal of 123313302001134 is 431100203313321.

123313302001134 is a `hidden beast` number, since 1 + 2 + 3 + 313 + 30 + 200 + 113 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 123313302001098 and 123313302001107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1819068337 + ... + 1819136124.

It is an arithmetic number, because the mean of its divisors is an integer number (6385048830810).

Almost surely, 2123313302001134 is an apocalyptic number.

123313302001134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

123313302001134 is an abundant number, since it is smaller than the sum of its proper divisors (183169041877746).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123313302001134 is a wasteful number, since it uses less digits than its factorization.

123313302001134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638204745 (or 3638204742 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 123313302001134 its reverse (431100203313321), we get a palindrome (554413505314455).

The spelling of 123313302001134 in words is "one hundred twenty-three trillion, three hundred thirteen billion, three hundred two million, one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 269 538 807 1614 1883 2421 3766 4842 5649 11298 16947 33894 3638204461 7276408922 10914613383 21829226766 25467431227 32743840149 50934862454 65487680298 76402293681 152804587362 229206881043 458413762086 978677000009 1957354000018 2936031000027 5872062000054 6850739000063 8808093000081 13701478000126 17616186000162 20552217000189 41104434000378 61656651000567 123313302001134