Search a number
-
+
22222101401 is a prime number
BaseRepresentation
bin10100101100100010…
…100101101110011001
32010100200210201022122
4110230202211232121
5331002324221101
614113024431025
71414453513433
oct245442455631
963320721278
1022222101401
119473884765
124382178475
132131b77036
14110b477653
158a0da151b
hex52c8a5b99

22222101401 has 2 divisors, whose sum is σ = 22222101402. Its totient is φ = 22222101400.

The previous prime is 22222101397. The next prime is 22222101403. The reversal of 22222101401 is 10410122222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19958625625 + 2263475776 = 141275^2 + 47576^2 .

It is a cyclic number.

It is not a de Polignac number, because 22222101401 - 22 = 22222101397 is a prime.

Together with 22222101403, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22222101401.

It is not a weakly prime, because it can be changed into another prime (22222101403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11111050700 + 11111050701.

It is an arithmetic number, because the mean of its divisors is an integer number (11111050701).

Almost surely, 222222101401 is an apocalyptic number.

It is an amenable number.

22222101401 is a deficient number, since it is larger than the sum of its proper divisors (1).

22222101401 is an equidigital number, since it uses as much as digits as its factorization.

22222101401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22222101401 its reverse (10410122222), we get a palindrome (32632223623).

The spelling of 22222101401 in words is "twenty-two billion, two hundred twenty-two million, one hundred one thousand, four hundred one".