Search a number
-
+
22112310401 is a prime number
BaseRepresentation
bin10100100101111111…
…110001010010000001
32010002001012202101022
4110211333301102001
5330241222413101
614054103315225
71411651352156
oct244577612201
963061182338
1022112310401
1194179060a5
12435144bb15
1321151b5b4c
1410daa5822d
15896415a1b
hex525ff1481

22112310401 has 2 divisors, whose sum is σ = 22112310402. Its totient is φ = 22112310400.

The previous prime is 22112310373. The next prime is 22112310413. The reversal of 22112310401 is 10401321122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21875889025 + 236421376 = 147905^2 + 15376^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22112310401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22112310401.

It is not a weakly prime, because it can be changed into another prime (22112310421) 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, 11056155200 + 11056155201.

It is an arithmetic number, because the mean of its divisors is an integer number (11056155201).

Almost surely, 222112310401 is an apocalyptic number.

It is an amenable number.

22112310401 is a deficient number, since it is larger than the sum of its proper divisors (1).

22112310401 is an equidigital number, since it uses as much as digits as its factorization.

22112310401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 22112310401 its reverse (10401321122), we get a palindrome (32513631523).

The spelling of 22112310401 in words is "twenty-two billion, one hundred twelve million, three hundred ten thousand, four hundred one".