Search a number
-
+
122312078081 is a prime number
BaseRepresentation
bin111000111101001011…
…1100011001100000001
3102200201010202100100222
41301322113203030001
54000443342444311
6132104524152425
711560002336554
oct1617227431401
9380633670328
10122312078081
1147965a85656
121b856098715
13b6c31cabcb
145cc443a69b
1532ace60adb
hex1c7a5e3301

122312078081 has 2 divisors, whose sum is σ = 122312078082. Its totient is φ = 122312078080.

The previous prime is 122312078059. The next prime is 122312078089. The reversal of 122312078081 is 180870213221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107987818225 + 14324259856 = 328615^2 + 119684^2 .

It is a cyclic number.

It is not a de Polignac number, because 122312078081 - 218 = 122311815937 is a prime.

It is a super-2 number, since 2×1223120780812 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (122312078089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61156039040 + 61156039041.

It is an arithmetic number, because the mean of its divisors is an integer number (61156039041).

Almost surely, 2122312078081 is an apocalyptic number.

It is an amenable number.

122312078081 is a deficient number, since it is larger than the sum of its proper divisors (1).

122312078081 is an equidigital number, since it uses as much as digits as its factorization.

122312078081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10752, while the sum is 35.

The spelling of 122312078081 in words is "one hundred twenty-two billion, three hundred twelve million, seventy-eight thousand, eighty-one".