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2013322342100 = 225220133223421
BaseRepresentation
bin11101010011000011010…
…111001110111011010100
321010110201220011221122212
4131103003113032323110
5230441241004421400
64140524005012552
7265313001354416
oct35230327167324
97113656157585
102013322342100
11706932a7a673
122862416b4158
13117b17657334
146d633d669b6
15375878a3335
hex1d4c35ceed4

2013322342100 has 18 divisors (see below), whose sum is σ = 4368909482574. Its totient is φ = 805328936800.

The previous prime is 2013322342091. The next prime is 2013322342127. The reversal of 2013322342100 is 12432233102.

It can be written as a sum of positive squares in 3 ways, for example, as 206201360836 + 1807120981264 = 454094^2 + 1344292^2 .

It is a congruent number.

It is an unprimeable number.

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, 10066611611 + ... + 10066611810.

Almost surely, 22013322342100 is an apocalyptic number.

2013322342100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013322342100 is an abundant number, since it is smaller than the sum of its proper divisors (2355587140474).

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

2013322342100 is a wasteful number, since it uses less digits than its factorization.

2013322342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20133223435 (or 20133223428 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 2013322342100 its reverse (12432233102), we get a palindrome (2025754575202).

The spelling of 2013322342100 in words is "two trillion, thirteen billion, three hundred twenty-two million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 20133223421 40266446842 80532893684 100666117105 201332234210 402664468420 503330585525 1006661171050 2013322342100