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123303014402112 = 2632214067733337
BaseRepresentation
bin11100000010010010111000…
…010111111000100001000000
3121011120122122002002211110100
4130002102320113320201000
5112130144033141331422
61114124342310402400
734654230433312146
oct3402227027704100
9534518562084410
10123303014402112
11363195731440a6
12119b4b4a060400
1353a556944315c
142263c7d57d596
15e3c5daee47ac
hex7024b85f8840

123303014402112 has 42 divisors (see below), whose sum is σ = 353425827741038. Its totient is φ = 41101004800512.

The previous prime is 123303014402033. The next prime is 123303014402123. The reversal of 123303014402112 is 211204410303321.

123303014402112 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 0 + 3 + 0 + 1 + 440 + 211 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75060321477696 + 48242692924416 = 8663736^2 + 6945696^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 107033866093 + ... + 107033867244.

Almost surely, 2123303014402112 is an apocalyptic number.

123303014402112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123303014402112 is an abundant number, since it is smaller than the sum of its proper divisors (230122813338926).

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

123303014402112 is a wasteful number, since it uses less digits than its factorization.

123303014402112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214067733355 (or 214067733342 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 123303014402112 its reverse (211204410303321), we get a palindrome (334507424705433).

The spelling of 123303014402112 in words is "one hundred twenty-three trillion, three hundred three billion, fourteen million, four hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 214067733337 428135466674 642203200011 856270933348 1284406400022 1712541866696 1926609600033 2568812800044 3425083733392 3853219200066 5137625600088 6850167466784 7706438400132 10275251200176 13700334933568 15412876800264 20550502400352 30825753600528 41101004800704 61651507201056 123303014402112