Search a number
-
+
222121222202149 is a prime number
BaseRepresentation
bin110010100000010010100000…
…100010111110001100100101
31002010110120200212220022211221
4302200102200202332030211
5213103213230340432044
62104225025241100341
764533504644505454
oct6240224042761445
91063416625808757
10222121222202149
1164858099276906
1220ab46b7a876b1
1396c2c3128a37a
143cbca20106b9b
151aa2d3932c484
hexca04a08be325

222121222202149 has 2 divisors, whose sum is σ = 222121222202150. Its totient is φ = 222121222202148.

The previous prime is 222121222202063. The next prime is 222121222202153. The reversal of 222121222202149 is 941202222121222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 221633190022500 + 488032179649 = 14887350^2 + 698593^2 .

It is a cyclic number.

It is not a de Polignac number, because 222121222202149 - 27 = 222121222202021 is a prime.

It is a super-3 number, since 3×2221212222021493 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222121222272149) 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, 111060611101074 + 111060611101075.

It is an arithmetic number, because the mean of its divisors is an integer number (111060611101075).

Almost surely, 2222121222202149 is an apocalyptic number.

It is an amenable number.

222121222202149 is a deficient number, since it is larger than the sum of its proper divisors (1).

222121222202149 is an equidigital number, since it uses as much as digits as its factorization.

222121222202149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 222121222202149 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, two hundred twenty-two million, two hundred two thousand, one hundred forty-nine".