Search a number
-
+
222121222100209 is a prime number
BaseRepresentation
bin110010100000010010100000…
…100010100101010011110001
31002010110120200212201011000101
4302200102200202211103301
5213103213230324201314
62104225025234552401
764533504643602325
oct6240224042452361
91063416625634011
10222121222100209
1164858099207263
1220ab46b7a38701
1396c2c31252b53
143cbca200bb985
151aa2d3930c174
hexca04a08a54f1

222121222100209 has 2 divisors, whose sum is σ = 222121222100210. Its totient is φ = 222121222100208.

The previous prime is 222121222100143. The next prime is 222121222100251. The reversal of 222121222100209 is 902001222121222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 163569954565809 + 58551267534400 = 12789447^2 + 7651880^2 .

It is a cyclic number.

It is not a de Polignac number, because 222121222100209 - 211 = 222121222098161 is a prime.

It is not a weakly prime, because it can be changed into another prime (222121222100269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111060611050104 + 111060611050105.

It is an arithmetic number, because the mean of its divisors is an integer number (111060611050105).

Almost surely, 2222121222100209 is an apocalyptic number.

It is an amenable number.

222121222100209 is a deficient number, since it is larger than the sum of its proper divisors (1).

222121222100209 is an equidigital number, since it uses as much as digits as its factorization.

222121222100209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 222121222100209 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred thousand, two hundred nine".