Search a number
-
+
22222101012277 is a prime number
BaseRepresentation
bin1010000110101111111000…
…11011111101111100110101
32220200102010102112210101111
411003113330123331330311
510403041330324343102
6115132405310355021
74452331244002045
oct503277433757465
986612112483344
1022222101012277
117098381768721
1225aa9607bba71
13c526c58c571a
1456b7ac145725
152880ab71acd7
hex1435fc6fdf35

22222101012277 has 2 divisors, whose sum is σ = 22222101012278. Its totient is φ = 22222101012276.

The previous prime is 22222101012193. The next prime is 22222101012289. The reversal of 22222101012277 is 77221010122222.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18948339114961 + 3273761897316 = 4352969^2 + 1809354^2 .

It is a cyclic number.

It is not a de Polignac number, because 22222101012277 - 239 = 21672345198389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22222101012077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11111050506138 + 11111050506139.

It is an arithmetic number, because the mean of its divisors is an integer number (11111050506139).

Almost surely, 222222101012277 is an apocalyptic number.

It is an amenable number.

22222101012277 is a deficient number, since it is larger than the sum of its proper divisors (1).

22222101012277 is an equidigital number, since it uses as much as digits as its factorization.

22222101012277 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6272, while the sum is 31.

Adding to 22222101012277 its reverse (77221010122222), we get a palindrome (99443111134499).

The spelling of 22222101012277 in words is "twenty-two trillion, two hundred twenty-two billion, one hundred one million, twelve thousand, two hundred seventy-seven".