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2013210012 = 22311109713903
BaseRepresentation
bin111011111111111…
…0010010110011100
312012022012122221210
41313333302112130
513110340210022
6531434024420
7100614000642
oct16777622634
95168178853
102013210012
1194344a530
12482278110
13261121038
14151537192
15bbb21a0c
hex77ff259c

2013210012 has 48 divisors (see below), whose sum is σ = 5129574912. Its totient is φ = 609463680.

The previous prime is 2013209959. The next prime is 2013210013. The reversal of 2013210012 is 2100123102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 2013210012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013210013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137853 + ... + 151755.

It is an arithmetic number, because the mean of its divisors is an integer number (106866144).

Almost surely, 22013210012 is an apocalyptic number.

2013210012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2013210012 is an abundant number, since it is smaller than the sum of its proper divisors (3116364900).

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

2013210012 is a wasteful number, since it uses less digits than its factorization.

2013210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15018 (or 15016 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2013210012 is about 44868.8088988331. The cubic root of 2013210012 is about 1262.6888936331.

Adding to 2013210012 its reverse (2100123102), we get a palindrome (4113333114).

The spelling of 2013210012 in words is "two billion, thirteen million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1097 2194 3291 4388 6582 12067 13164 13903 24134 27806 36201 41709 48268 55612 72402 83418 144804 152933 166836 305866 458799 611732 917598 1835196 15251591 30503182 45754773 61006364 91509546 167767501 183019092 335535002 503302503 671070004 1006605006 2013210012