Search a number
-
+
21122010577 is a prime number
BaseRepresentation
bin10011101010111110…
…000100110111010001
32000112000210022102001
4103222332010313101
5321224213314302
613411525554001
71345265061523
oct235276046721
960460708361
1021122010577
118a59908198
124115875901
131cb7c93c15
141045313a13
158394ed787
hex4eaf84dd1

21122010577 has 2 divisors, whose sum is σ = 21122010578. Its totient is φ = 21122010576.

The previous prime is 21122010491. The next prime is 21122010583. The reversal of 21122010577 is 77501022112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20837211201 + 284799376 = 144351^2 + 16876^2 .

It is a cyclic number.

It is not a de Polignac number, because 21122010577 - 231 = 18974526929 is a prime.

It is a super-2 number, since 2×211220105772 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21122010277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10561005288 + 10561005289.

It is an arithmetic number, because the mean of its divisors is an integer number (10561005289).

Almost surely, 221122010577 is an apocalyptic number.

It is an amenable number.

21122010577 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122010577 is an equidigital number, since it uses as much as digits as its factorization.

21122010577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1960, while the sum is 28.

Adding to 21122010577 its reverse (77501022112), we get a palindrome (98623032689).

The spelling of 21122010577 in words is "twenty-one billion, one hundred twenty-two million, ten thousand, five hundred seventy-seven".