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123142342410 = 23251578714957
BaseRepresentation
bin111001010101111011…
…0110000011100001010
3102202212000001010220200
41302223312300130022
54004143414424120
6132323143433030
711616403432353
oct1625366603412
9382760033820
10123142342410
114825170751a
121ba48155776
13b7c6219189
145d62802d2a
15330acb4e90
hex1cabdb070a

123142342410 has 48 divisors (see below), whose sum is σ = 322209427176. Its totient is φ = 32628795264.

The previous prime is 123142342321. The next prime is 123142342439. The reversal of 123142342410 is 14243241321.

123142342410 is a `hidden beast` number, since 1 + 2 + 3 + 14 + 234 + 2 + 410 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 100794185361 + 22348157049 = 317481^2 + 149493^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4343349 + ... + 4371608.

Almost surely, 2123142342410 is an apocalyptic number.

123142342410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123142342410 is an abundant number, since it is smaller than the sum of its proper divisors (199067084766).

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

123142342410 is a wasteful number, since it uses less digits than its factorization.

123142342410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8715127 (or 8715124 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 123142342410 its reverse (14243241321), we get a palindrome (137385583731).

The spelling of 123142342410 in words is "one hundred twenty-three billion, one hundred forty-two million, three hundred forty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 157 314 471 785 942 1413 1570 2355 2826 4710 7065 14130 8714957 17429914 26144871 43574785 52289742 78434613 87149570 130724355 156869226 261448710 392173065 784346130 1368248249 2736496498 4104744747 6841241245 8209489494 12314234241 13682482490 20523723735 24628468482 41047447470 61571171205 123142342410