Search a number
-
+
222111210011057 is a prime number
BaseRepresentation
bin110010100000001001001011…
…110001011111100110110001
31002010102121212010012022200122
4302200021023301133212301
5213103032224230323212
62104220251541100025
764533001561340123
oct6240111361374661
91063377763168618
10222111210011057
1164853920695514
1220ab27829b7615
1396c1cc6bc1c43
143cbc3504cd213
151aa2950362272
hexca024bc5f9b1

222111210011057 has 2 divisors, whose sum is σ = 222111210011058. Its totient is φ = 222111210011056.

The previous prime is 222111210010993. The next prime is 222111210011081. The reversal of 222111210011057 is 750110012111222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212372591314081 + 9738618696976 = 14573009^2 + 3120676^2 .

It is a cyclic number.

It is not a de Polignac number, because 222111210011057 - 26 = 222111210010993 is a prime.

It is a super-2 number, since 2×2221112100110572 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (222111210011857) 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, 111055605005528 + 111055605005529.

It is an arithmetic number, because the mean of its divisors is an integer number (111055605005529).

Almost surely, 2222111210011057 is an apocalyptic number.

It is an amenable number.

222111210011057 is a deficient number, since it is larger than the sum of its proper divisors (1).

222111210011057 is an equidigital number, since it uses as much as digits as its factorization.

222111210011057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 26.

Adding to 222111210011057 its reverse (750110012111222), we get a palindrome (972221222122279).

The spelling of 222111210011057 in words is "two hundred twenty-two trillion, one hundred eleven billion, two hundred ten million, eleven thousand, fifty-seven".