Search a number
-
+
222202122200021 is a prime number
BaseRepresentation
bin110010100001011101110110…
…100011111110001111010101
31002010202022111221112000211102
4302201131312203332033111
5213111024421240400041
62104330125024515445
764542400505236535
oct6241356643761725
91063668457460742
10222202122200021
1164889433203687
1220b0831517bb85
1396ca7549b78b2
143cc28d65db4c5
151aa4ec182709b
hexca17768fe3d5

222202122200021 has 2 divisors, whose sum is σ = 222202122200022. Its totient is φ = 222202122200020.

The previous prime is 222202122199961. The next prime is 222202122200027. The reversal of 222202122200021 is 120002221202222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220920213658225 + 1281908541796 = 14863385^2 + 1132214^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222202122200021 is a prime.

It is a super-2 number, since 2×2222021222000212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222202122199966 and 222202122200002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222202122200027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111101061100010 + 111101061100011.

It is an arithmetic number, because the mean of its divisors is an integer number (111101061100011).

Almost surely, 2222202122200021 is an apocalyptic number.

It is an amenable number.

222202122200021 is a deficient number, since it is larger than the sum of its proper divisors (1).

222202122200021 is an equidigital number, since it uses as much as digits as its factorization.

222202122200021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 222202122200021 its reverse (120002221202222), we get a palindrome (342204343402243).

The spelling of 222202122200021 in words is "two hundred twenty-two trillion, two hundred two billion, one hundred twenty-two million, two hundred thousand, twenty-one".