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123313431312 = 24323132735921
BaseRepresentation
bin111001011011000001…
…1011010001100010000
3102210021220222100202200
41302312003122030100
54010021214300222
6132352134443200
711623551605001
oct1626603321420
9383256870680
10123313431312
114832a243105
121ba95503500
13b8227c0006
145d7b41b1a8
15331ad0ceac
hex1cb60da310

123313431312 has 60 divisors (see below), whose sum is σ = 346209041724. Its totient is φ = 40973137920.

The previous prime is 123313431299. The next prime is 123313431337. The reversal of 123313431312 is 213134313321.

123313431312 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 1 + 343 + 1 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5922225936 + 117391205376 = 76956^2 + 342624^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1322889 + ... + 1413032.

Almost surely, 2123313431312 is an apocalyptic number.

123313431312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123313431312 is an abundant number, since it is smaller than the sum of its proper divisors (222895610412).

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

123313431312 is a wasteful number, since it uses less digits than its factorization.

123313431312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736248 (or 2736239 counting only the distinct ones).

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

Adding to 123313431312 its reverse (213134313321), we get a palindrome (336447744633).

The spelling of 123313431312 in words is "one hundred twenty-three billion, three hundred thirteen million, four hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 313 626 939 1252 1878 2504 2817 3756 5008 5634 7512 11268 15024 22536 45072 2735921 5471842 8207763 10943684 16415526 21887368 24623289 32831052 43774736 49246578 65662104 98493156 131324208 196986312 393972624 856343273 1712686546 2569029819 3425373092 5138059638 6850746184 7707089457 10276119276 13701492368 15414178914 20552238552 30828357828 41104477104 61656715656 123313431312