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122314312181 is a prime number
BaseRepresentation
bin111000111101010000…
…0000100100111110101
3102200201021221211222102
41301322200010213311
54000444430442211
6132105044111445
711560030333145
oct1617240044765
9380637854872
10122314312181
1147967271116
121b856995585
13b6c3800a69
145cc485c925
1532ad252a3b
hex1c7a8049f5

122314312181 has 2 divisors, whose sum is σ = 122314312182. Its totient is φ = 122314312180.

The previous prime is 122314312147. The next prime is 122314312189. The reversal of 122314312181 is 181213413221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122126485156 + 187827025 = 349466^2 + 13705^2 .

It is a cyclic number.

It is not a de Polignac number, because 122314312181 - 26 = 122314312117 is a prime.

It is a super-2 number, since 2×1223143121812 (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 (122314312189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61157156090 + 61157156091.

It is an arithmetic number, because the mean of its divisors is an integer number (61157156091).

Almost surely, 2122314312181 is an apocalyptic number.

It is an amenable number.

122314312181 is a deficient number, since it is larger than the sum of its proper divisors (1).

122314312181 is an equidigital number, since it uses as much as digits as its factorization.

122314312181 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2304, while the sum is 29.

The spelling of 122314312181 in words is "one hundred twenty-two billion, three hundred fourteen million, three hundred twelve thousand, one hundred eighty-one".