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202222022801 is a prime number
BaseRepresentation
bin1011110001010101011…
…1110011000010010001
3201022222012102010202012
42330111113303002101
511303122314212201
6232522143432305
720416151555411
oct2742527630221
9638865363665
10202222022801
1178842072887
12332378b5695
13160b9791876
149b05252641
1553d85915bb
hex2f155f3091

202222022801 has 2 divisors, whose sum is σ = 202222022802. Its totient is φ = 202222022800.

The previous prime is 202222022689. The next prime is 202222022831. The reversal of 202222022801 is 108220222202.

202222022801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111957829201 + 90264193600 = 334601^2 + 300440^2 .

It is a cyclic number.

It is not a de Polignac number, because 202222022801 - 214 = 202222006417 is a prime.

It is not a weakly prime, because it can be changed into another prime (202222022831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101111011400 + 101111011401.

It is an arithmetic number, because the mean of its divisors is an integer number (101111011401).

Almost surely, 2202222022801 is an apocalyptic number.

It is an amenable number.

202222022801 is a deficient number, since it is larger than the sum of its proper divisors (1).

202222022801 is an equidigital number, since it uses as much as digits as its factorization.

202222022801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 23.

The spelling of 202222022801 in words is "two hundred two billion, two hundred twenty-two million, twenty-two thousand, eight hundred one".