Search a number
-
+
122111329 is a prime number
BaseRepresentation
bin1110100011101…
…00010101100001
322111202220020211
413101310111201
5222230030304
620041134121
73011633464
oct721642541
9274686224
10122111329
1162a2405a
1234a8a341
131c3b5c32
14123092db
15aac1204
hex7474561

122111329 has 2 divisors, whose sum is σ = 122111330. Its totient is φ = 122111328.

The previous prime is 122111321. The next prime is 122111333. The reversal of 122111329 is 923111221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78854400 + 43256929 = 8880^2 + 6577^2 .

It is a cyclic number.

It is not a de Polignac number, because 122111329 - 23 = 122111321 is a prime.

It is a super-2 number, since 2×1221113292 = 29822353340292482, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122111321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61055664 + 61055665.

It is an arithmetic number, because the mean of its divisors is an integer number (61055665).

Almost surely, 2122111329 is an apocalyptic number.

It is an amenable number.

122111329 is a deficient number, since it is larger than the sum of its proper divisors (1).

122111329 is an equidigital number, since it uses as much as digits as its factorization.

122111329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 22.

The square root of 122111329 is about 11050.3994950409. The cubic root of 122111329 is about 496.1183827404.

The spelling of 122111329 in words is "one hundred twenty-two million, one hundred eleven thousand, three hundred twenty-nine".