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202212122261 is a prime number
BaseRepresentation
bin1011110001010011001…
…0000001111010010101
3201022221111210010202112
42330110302001322111
511303112300403021
6232521151320405
720416001452022
oct2742462017225
9638844703675
10202212122261
1178837520416
1233234520105
13160b7706366
149b03bd6549
1553d7787d5b
hex2f14c81e95

202212122261 has 2 divisors, whose sum is σ = 202212122262. Its totient is φ = 202212122260.

The previous prime is 202212122239. The next prime is 202212122267. The reversal of 202212122261 is 162221212202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 194225304100 + 7986818161 = 440710^2 + 89369^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-202212122261 is a prime.

It is a super-2 number, since 2×2022121222612 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202212122267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101106061130 + 101106061131.

It is an arithmetic number, because the mean of its divisors is an integer number (101106061131).

Almost surely, 2202212122261 is an apocalyptic number.

It is an amenable number.

202212122261 is a deficient number, since it is larger than the sum of its proper divisors (1).

202212122261 is an equidigital number, since it uses as much as digits as its factorization.

202212122261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 202212122261 its reverse (162221212202), we get a palindrome (364433334463).

The spelling of 202212122261 in words is "two hundred two billion, two hundred twelve million, one hundred twenty-two thousand, two hundred sixty-one".