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2202001110013 is a prime number
BaseRepresentation
bin100000000010110001011…
…111100111001111111101
321210111202020120110100011
4200002301133213033331
5242034144241010023
64403330233503221
7315042432416035
oct40026137471775
97714666513304
102202001110013
11779955247611
122b6919871b11
1312c856328bc3
14788126388c5
153c42be8350d
hex200b17e73fd

2202001110013 has 2 divisors, whose sum is σ = 2202001110014. Its totient is φ = 2202001110012.

The previous prime is 2202001109951. The next prime is 2202001110019. The reversal of 2202001110013 is 3100111002022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2195058554329 + 6942555684 = 1481573^2 + 83322^2 .

It is a cyclic number.

It is not a de Polignac number, because 2202001110013 - 213 = 2202001101821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2202001109975 and 2202001110002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2202001110019) 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 as a sum of consecutive naturals, namely, 1101000555006 + 1101000555007.

It is an arithmetic number, because the mean of its divisors is an integer number (1101000555007).

Almost surely, 22202001110013 is an apocalyptic number.

It is an amenable number.

2202001110013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2202001110013 is an equidigital number, since it uses as much as digits as its factorization.

2202001110013 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2202001110013 its reverse (3100111002022), we get a palindrome (5302112112035).

The spelling of 2202001110013 in words is "two trillion, two hundred two billion, one million, one hundred ten thousand, thirteen".