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202201020202249 is a prime number
BaseRepresentation
bin101101111110011010010111…
…111110110111110100001001
3222111221020011202110020102101
4231332122113332313310021
5203000330142132432444
61554013511043033401
760406353530331265
oct5576322776676411
9874836152406371
10202201020202249
1159477a75597392
121a817ab466b861
1388a9622303a93
1437d081dc810a5
151859aa4d633d4
hexb7e697fb7d09

202201020202249 has 2 divisors, whose sum is σ = 202201020202250. Its totient is φ = 202201020202248.

The previous prime is 202201020202193. The next prime is 202201020202271. The reversal of 202201020202249 is 942202020102202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 183435601945600 + 18765418256649 = 13543840^2 + 4331907^2 .

It is a cyclic number.

It is not a de Polignac number, because 202201020202249 - 247 = 61463531846921 is a prime.

It is not a weakly prime, because it can be changed into another prime (202201020202549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101100510101124 + 101100510101125.

It is an arithmetic number, because the mean of its divisors is an integer number (101100510101125).

Almost surely, 2202201020202249 is an apocalyptic number.

It is an amenable number.

202201020202249 is a deficient number, since it is larger than the sum of its proper divisors (1).

202201020202249 is an equidigital number, since it uses as much as digits as its factorization.

202201020202249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 202201020202249 in words is "two hundred two trillion, two hundred one billion, twenty million, two hundred two thousand, two hundred forty-nine".