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122316434441 is a prime number
BaseRepresentation
bin111000111101010100…
…0001010110000001001
3102200201102221200011122
41301322220022300021
54001001001400231
6132105201405025
711560054352405
oct1617250126011
9380642850148
10122316434441
1147968490653
121b857639775
13b6c4094a36
145cc4c52105
1532ad52177b
hex1c7aa0ac09

122316434441 has 2 divisors, whose sum is σ = 122316434442. Its totient is φ = 122316434440.

The previous prime is 122316434419. The next prime is 122316434473. The reversal of 122316434441 is 144434613221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95602166416 + 26714268025 = 309196^2 + 163445^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122316434441 is a prime.

It is a super-2 number, since 2×1223164344412 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122316434491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61158217220 + 61158217221.

It is an arithmetic number, because the mean of its divisors is an integer number (61158217221).

Almost surely, 2122316434441 is an apocalyptic number.

It is an amenable number.

122316434441 is a deficient number, since it is larger than the sum of its proper divisors (1).

122316434441 is an equidigital number, since it uses as much as digits as its factorization.

122316434441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 55296, while the sum is 35.

The spelling of 122316434441 in words is "one hundred twenty-two billion, three hundred sixteen million, four hundred thirty-four thousand, four hundred forty-one".