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12342404020 = 2251016110101
BaseRepresentation
bin10110111111010101…
…00010001110110100
31011212011102002100211
423133222202032310
5200234123412040
65400420315204
7614566463122
oct133752421664
934764362324
1012342404020
115263a68901
122485542b04
13121908b45b
148512ac912
154c38588ea
hex2dfaa23b4

12342404020 has 24 divisors (see below), whose sum is σ = 26175676968. Its totient is φ = 4888080000.

The previous prime is 12342403987. The next prime is 12342404023. The reversal of 12342404020 is 2040424321.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2137767696 + 10204636324 = 46236^2 + 101018^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12342403982 and 12342404000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12342404023) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3053031 + ... + 3057070.

It is an arithmetic number, because the mean of its divisors is an integer number (1090653207).

Almost surely, 212342404020 is an apocalyptic number.

12342404020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12342404020 is an abundant number, since it is smaller than the sum of its proper divisors (13833272948).

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

12342404020 is a wasteful number, since it uses less digits than its factorization.

12342404020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6110211 (or 6110209 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 12342404020 its reverse (2040424321), we get a palindrome (14382828341).

The spelling of 12342404020 in words is "twelve billion, three hundred forty-two million, four hundred four thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 6110101 12220202 24440404 30550505 61101010 122202020 617120201 1234240402 2468480804 3085601005 6171202010 12342404020