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13420402120 = 235601558253
BaseRepresentation
bin11000111111110101…
…10001010111001000
31021122021212001202101
430133322301113020
5204441110331440
610055405443144
7653366351536
oct143772612710
937567761671
1013420402120
115767515824
1227265704b4
13135b507758
14914521156
155382e569a
hex31feb15c8

13420402120 has 32 divisors (see below), whose sum is σ = 30246201720. Its totient is φ = 5359219200.

The previous prime is 13420402111. The next prime is 13420402129. The reversal of 13420402120 is 2120402431.

It is an interprime number because it is at equal distance from previous prime (13420402111) and next prime (13420402129).

It can be written as a sum of positive squares in 4 ways, for example, as 8976046564 + 4444355556 = 94742^2 + 66666^2 .

It is not an unprimeable number, because it can be changed into a prime (13420402129) 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, 255087 + ... + 303166.

Almost surely, 213420402120 is an apocalyptic number.

13420402120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13420402120 is an abundant number, since it is smaller than the sum of its proper divisors (16825799600).

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

13420402120 is a wasteful number, since it uses less digits than its factorization.

13420402120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558865 (or 558861 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 13420402120 its reverse (2120402431), we get a palindrome (15540804551).

The spelling of 13420402120 in words is "thirteen billion, four hundred twenty million, four hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 601 1202 2404 3005 4808 6010 12020 24040 558253 1116506 2233012 2791265 4466024 5582530 11165060 22330120 335510053 671020106 1342040212 1677550265 2684080424 3355100530 6710201060 13420402120