Search a number
-
+
20397222401 is a prime number
BaseRepresentation
bin10010111111110001…
…001110101000000001
31221122111222020221112
4102333301032220001
5313233142104101
613211555133105
71321314346463
oct227761165001
957574866845
1020397222401
1187177780a6
123b52ba4195
131c00a85b8a
14db6d66133
157e5a816bb
hex4bfc4ea01

20397222401 has 2 divisors, whose sum is σ = 20397222402. Its totient is φ = 20397222400.

The previous prime is 20397222383. The next prime is 20397222403. The reversal of 20397222401 is 10422279302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15961795600 + 4435426801 = 126340^2 + 66599^2 .

It is a cyclic number.

It is not a de Polignac number, because 20397222401 - 226 = 20330113537 is a prime.

Together with 20397222403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (20397222403) 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, 10198611200 + 10198611201.

It is an arithmetic number, because the mean of its divisors is an integer number (10198611201).

Almost surely, 220397222401 is an apocalyptic number.

It is an amenable number.

20397222401 is a deficient number, since it is larger than the sum of its proper divisors (1).

20397222401 is an equidigital number, since it uses as much as digits as its factorization.

20397222401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 20397222401 in words is "twenty billion, three hundred ninety-seven million, two hundred twenty-two thousand, four hundred one".