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2013101221 is a prime number
BaseRepresentation
bin111011111111101…
…0111110010100101
312012022000010201111
41313333113302211
513110323214341
6531431425021
7100613035525
oct16777276245
95168003644
102013101221
1194338581a
12482225171
132610b3671
14151509685
15bbaee681
hex77fd7ca5

2013101221 has 2 divisors, whose sum is σ = 2013101222. Its totient is φ = 2013101220.

The previous prime is 2013101213. The next prime is 2013101239. The reversal of 2013101221 is 1221013102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1252168996 + 760932225 = 35386^2 + 27585^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013101221 - 23 = 2013101213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013101261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006550610 + 1006550611.

It is an arithmetic number, because the mean of its divisors is an integer number (1006550611).

Almost surely, 22013101221 is an apocalyptic number.

It is an amenable number.

2013101221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013101221 is an equidigital number, since it uses as much as digits as its factorization.

2013101221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2013101221 is about 44867.5965592096. The cubic root of 2013101221 is about 1262.6661485873. Note that the first 3 decimals are identical.

Adding to 2013101221 its reverse (1221013102), we get a palindrome (3234114323).

The spelling of 2013101221 in words is "two billion, thirteen million, one hundred one thousand, two hundred twenty-one".