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2013213031300 = 225220132130313
BaseRepresentation
bin11101010010111100110…
…110001111101110000100
321010110110021111101102201
4131102330312033232010
5230441030014000200
64140505102044244
7265310203263142
oct35227466175604
97113407441381
102013213031300
117068872a9869
12286210b79684
13117acab038a3
146d623630592
153757ceaec6a
hex1d4bcd8fb84

2013213031300 has 18 divisors (see below), whose sum is σ = 4368672278138. Its totient is φ = 805285212480.

The previous prime is 2013213031289. The next prime is 2013213031309. The reversal of 2013213031300 is 31303123102.

It can be written as a sum of positive squares in 3 ways, for example, as 198286746436 + 1814926284864 = 445294^2 + 1347192^2 .

It is a super-2 number, since 2×20132130313002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2013213031309) 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 5 ways as a sum of consecutive naturals, for example, 10066065057 + ... + 10066065256.

Almost surely, 22013213031300 is an apocalyptic number.

2013213031300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013213031300 is an abundant number, since it is smaller than the sum of its proper divisors (2355459246838).

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

2013213031300 is a wasteful number, since it uses less digits than its factorization.

2013213031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20132130327 (or 20132130320 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 2013213031300 its reverse (31303123102), we get a palindrome (2044516154402).

The spelling of 2013213031300 in words is "two trillion, thirteen billion, two hundred thirteen million, thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 20132130313 40264260626 80528521252 100660651565 201321303130 402642606260 503303257825 1006606515650 2013213031300