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123400234431 = 3318125250713
BaseRepresentation
bin111001011101100111…
…0100010010110111111
3102210111222022102021000
41302323032202112333
54010210430000211
6132404515141343
711625654454215
oct1627316422677
9383458272230
10123400234431
1148374240621
121baba5a4853
13b837792ac6
145d88b74cb5
153323757656
hex1cbb3a25bf

123400234431 has 16 divisors (see below), whose sum is σ = 183825197920. Its totient is φ = 81812306880.

The previous prime is 123400234411. The next prime is 123400234459. The reversal of 123400234431 is 134432004321.

123400234431 is a `hidden beast` number, since 1 + 23 + 400 + 234 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 123400234431 - 27 = 123400234303 is a prime.

It is a super-2 number, since 2×1234002344312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123400234395 and 123400234404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123400234411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12620470 + ... + 12630243.

It is an arithmetic number, because the mean of its divisors is an integer number (11489074870).

Almost surely, 2123400234431 is an apocalyptic number.

123400234431 is a deficient number, since it is larger than the sum of its proper divisors (60424963489).

123400234431 is a wasteful number, since it uses less digits than its factorization.

123400234431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25250903 (or 25250897 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 123400234431 its reverse (134432004321), we get a palindrome (257832238752).

The spelling of 123400234431 in words is "one hundred twenty-three billion, four hundred million, two hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 27 181 543 1629 4887 25250713 75752139 227256417 681769251 4570379053 13711137159 41133411477 123400234431