Search a number
-
+
122330125421081 is a prime number
BaseRepresentation
bin11011110100001000110011…
…101010111100101000011001
3121001010122102202211212101222
4123310020303222330220121
5112013224044101433311
61112101403411221425
734524026355363554
oct3364106352745031
9531118382755358
10122330125421081
1135a83a0772a006
12118784935a7875
1353348b1b59296
14222cb499d769b
15e22149942adb
hex6f4233abca19

122330125421081 has 2 divisors, whose sum is σ = 122330125421082. Its totient is φ = 122330125421080.

The previous prime is 122330125421059. The next prime is 122330125421111. The reversal of 122330125421081 is 180124521033221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85007312043481 + 37322813377600 = 9219941^2 + 6109240^2 .

It is a cyclic number.

It is not a de Polignac number, because 122330125421081 - 26 = 122330125421017 is a prime.

It is a super-3 number, since 3×1223301254210813 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (122330125421381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61165062710540 + 61165062710541.

It is an arithmetic number, because the mean of its divisors is an integer number (61165062710541).

Almost surely, 2122330125421081 is an apocalyptic number.

It is an amenable number.

122330125421081 is a deficient number, since it is larger than the sum of its proper divisors (1).

122330125421081 is an equidigital number, since it uses as much as digits as its factorization.

122330125421081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23040, while the sum is 35.

The spelling of 122330125421081 in words is "one hundred twenty-two trillion, three hundred thirty billion, one hundred twenty-five million, four hundred twenty-one thousand, eighty-one".