Search a number
-
+
22311121220989 is a prime number
BaseRepresentation
bin1010001001010101101100…
…11101000111010101111101
32220222220220101202221112121
411010222312131013111331
510411021134013032424
6115241330530402541
74461632245203166
oct504526635072575
986886811687477
1022311121220989
117122103309047
122604065430451
13c5ac11734c33
14571c14c7676d
1528a56ba58ee4
hex144ab674757d

22311121220989 has 2 divisors, whose sum is σ = 22311121220990. Its totient is φ = 22311121220988.

The previous prime is 22311121220977. The next prime is 22311121221049. The reversal of 22311121220989 is 98902212111322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21970940658489 + 340180562500 = 4687317^2 + 583250^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22311121220989 is a prime.

It is a super-3 number, since 3×223111212209893 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22311121220939) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11155560610494 + 11155560610495.

It is an arithmetic number, because the mean of its divisors is an integer number (11155560610495).

Almost surely, 222311121220989 is an apocalyptic number.

It is an amenable number.

22311121220989 is a deficient number, since it is larger than the sum of its proper divisors (1).

22311121220989 is an equidigital number, since it uses as much as digits as its factorization.

22311121220989 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 43.

The spelling of 22311121220989 in words is "twenty-two trillion, three hundred eleven billion, one hundred twenty-one million, two hundred twenty thousand, nine hundred eighty-nine".