Search a number
-
+
222122331200339 is a prime number
BaseRepresentation
bin110010100000010011100010…
…101001011101101101010011
31002010110200120011200021100222
4302200103202221131231103
5213103223013241402324
62104225331254503255
764533544302026363
oct6240234251355523
91063420504607328
10222122331200339
1164858608277639
1220ab4967364b2b
1396c3079c6b90b
143cbcac75089a3
151aa2da188e55e
hexca04e2a5db53

222122331200339 has 2 divisors, whose sum is σ = 222122331200340. Its totient is φ = 222122331200338.

The previous prime is 222122331200299. The next prime is 222122331200351. The reversal of 222122331200339 is 933002133221222.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 222122331200339 - 240 = 221022819572563 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 222122331200299 and 222122331200308.

It is not a weakly prime, because it can be changed into another prime (222122331200359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111061165600169 + 111061165600170.

It is an arithmetic number, because the mean of its divisors is an integer number (111061165600170).

Almost surely, 2222122331200339 is an apocalyptic number.

222122331200339 is a deficient number, since it is larger than the sum of its proper divisors (1).

222122331200339 is an equidigital number, since it uses as much as digits as its factorization.

222122331200339 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 35.

The spelling of 222122331200339 in words is "two hundred twenty-two trillion, one hundred twenty-two billion, three hundred thirty-one million, two hundred thousand, three hundred thirty-nine".