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2202303013 is a prime number
BaseRepresentation
bin1000001101000100…
…0111101000100101
312200111000120210021
42003101013220211
514002242144023
61002310555141
7105401160331
oct20321075045
95614016707
102202303013
11a30162939
12515668ab1
132913599a1
1416c6ba7c1
15cd52435d
hex83447a25

2202303013 has 2 divisors, whose sum is σ = 2202303014. Its totient is φ = 2202303012.

The previous prime is 2202302983. The next prime is 2202303031. The reversal of 2202303013 is 3103032022.

Together with next prime (2202303031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1619418564 + 582884449 = 40242^2 + 24143^2 .

It is a cyclic number.

It is not a de Polignac number, because 2202303013 - 213 = 2202294821 is a prime.

It is a super-2 number, since 2×22023030132 = 9700277122137756338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2202303083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1101151506 + 1101151507.

It is an arithmetic number, because the mean of its divisors is an integer number (1101151507).

Almost surely, 22202303013 is an apocalyptic number.

It is an amenable number.

2202303013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2202303013 is an equidigital number, since it uses as much as digits as its factorization.

2202303013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2202303013 is about 46928.7013777283. The cubic root of 2202303013 is about 1301.0451187363.

Adding to 2202303013 its reverse (3103032022), we get a palindrome (5305335035).

The spelling of 2202303013 in words is "two billion, two hundred two million, three hundred three thousand, thirteen".