Search a number
-
+
122230332181 is a prime number
BaseRepresentation
bin111000111010101111…
…1101101101100010101
3102200111102221020002001
41301311133231230111
54000311431112211
6132052444115301
711554660452406
oct1616537555425
9380442836061
10122230332181
1147923921761
121b832835b31
13b6ac2a8c59
145cb763b9ad
1532a5bb4ac1
hex1c757edb15

122230332181 has 2 divisors, whose sum is σ = 122230332182. Its totient is φ = 122230332180.

The previous prime is 122230332139. The next prime is 122230332193. The reversal of 122230332181 is 181233032221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92254950225 + 29975381956 = 303735^2 + 173134^2 .

It is a cyclic number.

It is not a de Polignac number, because 122230332181 - 211 = 122230330133 is a prime.

It is a super-2 number, since 2×1222303321812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122230332101) 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, 61115166090 + 61115166091.

It is an arithmetic number, because the mean of its divisors is an integer number (61115166091).

Almost surely, 2122230332181 is an apocalyptic number.

It is an amenable number.

122230332181 is a deficient number, since it is larger than the sum of its proper divisors (1).

122230332181 is an equidigital number, since it uses as much as digits as its factorization.

122230332181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 122230332181 in words is "one hundred twenty-two billion, two hundred thirty million, three hundred thirty-two thousand, one hundred eighty-one".