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123344103312 = 2432856556273
BaseRepresentation
bin111001011011111100…
…0011010011110010000
3102210101001200122211200
41302313320122132100
54010102042301222
6132355152111200
711624403402513
oct1626770323620
9383331618750
10123344103312
1148345592471
121baa3835500
13b828c6bb21
145d81522d7a
15331d86aeac
hex1cb7e1a790

123344103312 has 30 divisors (see below), whose sum is σ = 345192178422. Its totient is φ = 41114701056.

The previous prime is 123344103301. The next prime is 123344103319. The reversal of 123344103312 is 213301443321.

It is a happy number.

123344103312 is a `hidden beast` number, since 1 + 2 + 3 + 344 + 1 + 0 + 3 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 121672601856 + 1671501456 = 348816^2 + 40884^2 .

It is not an unprimeable number, because it can be changed into a prime (123344103319) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 428277993 + ... + 428278280.

Almost surely, 2123344103312 is an apocalyptic number.

123344103312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123344103312 is an abundant number, since it is smaller than the sum of its proper divisors (221848075110).

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

123344103312 is a wasteful number, since it uses less digits than its factorization.

123344103312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856556287 (or 856556278 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 123344103312 its reverse (213301443321), we get a palindrome (336645546633).

The spelling of 123344103312 in words is "one hundred twenty-three billion, three hundred forty-four million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 856556273 1713112546 2569668819 3426225092 5139337638 6852450184 7709006457 10278675276 13704900368 15418012914 20557350552 30836025828 41114701104 61672051656 123344103312