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22022120401 is a prime number
BaseRepresentation
bin10100100000100111…
…101110001111010001
32002211202111121221221
4110200213232033101
5330100130323101
614041122245041
71406504635441
oct244047561721
962752447857
1022022120401
119380a05006
1243271b6781
1320cc5c8598
1410cca9c121
1588d54caa1
hex5209ee3d1

22022120401 has 2 divisors, whose sum is σ = 22022120402. Its totient is φ = 22022120400.

The previous prime is 22022120383. The next prime is 22022120437. The reversal of 22022120401 is 10402122022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18967900176 + 3054220225 = 137724^2 + 55265^2 .

It is a cyclic number.

It is not a de Polignac number, because 22022120401 - 27 = 22022120273 is a prime.

It is a super-2 number, since 2×220221204012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22022120441) 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, 11011060200 + 11011060201.

It is an arithmetic number, because the mean of its divisors is an integer number (11011060201).

Almost surely, 222022120401 is an apocalyptic number.

It is an amenable number.

22022120401 is a deficient number, since it is larger than the sum of its proper divisors (1).

22022120401 is an equidigital number, since it uses as much as digits as its factorization.

22022120401 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 16.

Adding to 22022120401 its reverse (10402122022), we get a palindrome (32424242423).

The spelling of 22022120401 in words is "twenty-two billion, twenty-two million, one hundred twenty thousand, four hundred one".