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2013202200301 is a prime number
BaseRepresentation
bin11101010010111100001…
…100111011011011101101
321010110102112010010002121
4131102330030323123231
5230441014230402201
64140504033552541
7265310012232655
oct35227414733355
97113375103077
102013202200301
11706881181326
12286209415751
13117ac87b0a06
146d622011365
153757c0709a1
hex1d4bc33b6ed

2013202200301 has 2 divisors, whose sum is σ = 2013202200302. Its totient is φ = 2013202200300.

The previous prime is 2013202200253. The next prime is 2013202200319. The reversal of 2013202200301 is 1030022023102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2005650764100 + 7551436201 = 1416210^2 + 86899^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013202200301 - 221 = 2013200103149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013202200371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006601100150 + 1006601100151.

It is an arithmetic number, because the mean of its divisors is an integer number (1006601100151).

Almost surely, 22013202200301 is an apocalyptic number.

It is an amenable number.

2013202200301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013202200301 is an equidigital number, since it uses as much as digits as its factorization.

2013202200301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2013202200301 its reverse (1030022023102), we get a palindrome (3043224223403).

The spelling of 2013202200301 in words is "two trillion, thirteen billion, two hundred two million, two hundred thousand, three hundred one".