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2013022300014 = 2331121961265819
BaseRepresentation
bin11101010010110001011…
…110101010011101101110
321010102221222121020022000
4131102301132222131232
5230440132202100024
64140434130033130
7265302366141225
oct35226136523556
97112858536260
102013022300014
11706799677600
122861791187a6
13117a9a44333b
146d606181cbc
153756b386cc9
hex1d4b17aa76e

2013022300014 has 192 divisors, whose sum is σ = 5260684128000. Its totient is φ = 568425211200.

The previous prime is 2013022299991. The next prime is 2013022300103. The reversal of 2013022300014 is 4100032203102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2013022300014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7439997 + ... + 7705815.

It is an arithmetic number, because the mean of its divisors is an integer number (27399396500).

Almost surely, 22013022300014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013022300014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630342064000).

2013022300014 is an abundant number, since it is smaller than the sum of its proper divisors (3247661827986).

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

2013022300014 is a wasteful number, since it uses less digits than its factorization.

2013022300014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265932 (or 265915 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2013022300014 its reverse (4100032203102), we get a palindrome (6113054503116).

The spelling of 2013022300014 in words is "two trillion, thirteen billion, twenty-two million, three hundred thousand, fourteen".