Search a number
-
+
21122210011181 is a prime number
BaseRepresentation
bin1001100110101111001011…
…10100110001100000101101
32202210021010010120202001012
410303113211310301200231
510232031241230324211
6112531224225155005
74310013024516416
oct463274564614055
982707103522035
1021122210011181
116803973995174
12245176148ba65
13ba2a7b591c56
1453046b33280d
152696855ead8b
hex1335e5d3182d

21122210011181 has 2 divisors, whose sum is σ = 21122210011182. Its totient is φ = 21122210011180.

The previous prime is 21122210011163. The next prime is 21122210011223. The reversal of 21122210011181 is 18111001222112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17207015681956 + 3915194329225 = 4148134^2 + 1978685^2 .

It is a cyclic number.

It is not a de Polignac number, because 21122210011181 - 210 = 21122210010157 is a prime.

It is a super-2 number, since 2×211222100111812 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21122210014181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10561105005590 + 10561105005591.

It is an arithmetic number, because the mean of its divisors is an integer number (10561105005591).

Almost surely, 221122210011181 is an apocalyptic number.

It is an amenable number.

21122210011181 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122210011181 is an equidigital number, since it uses as much as digits as its factorization.

21122210011181 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 23.

Adding to 21122210011181 its reverse (18111001222112), we get a palindrome (39233211233293).

The spelling of 21122210011181 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred ten million, eleven thousand, one hundred eighty-one".