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202221020120813 is a prime number
BaseRepresentation
bin101101111110101101000000…
…000100100000011011101101
3222112000010210120211100221222
4231332231000010200123231
5203001142122122331223
61554031015410433125
760410662251665621
oct5576550004403355
9875003716740858
10202221020120813
11594854a8a70201
121a81b9565927a5
1388ab48b980615
1437d179a145181
15185a375ab50c8
hexb7eb401206ed

202221020120813 has 2 divisors, whose sum is σ = 202221020120814. Its totient is φ = 202221020120812.

The previous prime is 202221020120803. The next prime is 202221020120849. The reversal of 202221020120813 is 318021020122202.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 201708080545609 + 512939575204 = 14202397^2 + 716198^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-202221020120813 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202221020120803) 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, 101110510060406 + 101110510060407.

It is an arithmetic number, because the mean of its divisors is an integer number (101110510060407).

Almost surely, 2202221020120813 is an apocalyptic number.

It is an amenable number.

202221020120813 is a deficient number, since it is larger than the sum of its proper divisors (1).

202221020120813 is an equidigital number, since it uses as much as digits as its factorization.

202221020120813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 26.

The spelling of 202221020120813 in words is "two hundred two trillion, two hundred twenty-one billion, twenty million, one hundred twenty thousand, eight hundred thirteen".