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122313213221 is a prime number
BaseRepresentation
bin111000111101001101…
…1111000010100100101
3102200201012220000111012
41301322123320110211
54000444140310341
6132105004352005
711560015105163
oct1617233702445
9380635800435
10122313213221
1147966690491
121b856545605
13b6c35077a4
145cc4654233
1532ad0d70eb
hex1c7a6f8525

122313213221 has 2 divisors, whose sum is σ = 122313213222. Its totient is φ = 122313213220.

The previous prime is 122313213179. The next prime is 122313213257. The reversal of 122313213221 is 122312313221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92181460996 + 30131752225 = 303614^2 + 173585^2 .

It is a cyclic number.

It is not a de Polignac number, because 122313213221 - 26 = 122313213157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122313210221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61156606610 + 61156606611.

It is an arithmetic number, because the mean of its divisors is an integer number (61156606611).

Almost surely, 2122313213221 is an apocalyptic number.

It is an amenable number.

122313213221 is a deficient number, since it is larger than the sum of its proper divisors (1).

122313213221 is an equidigital number, since it uses as much as digits as its factorization.

122313213221 is an evil number, because the sum of its binary digits is even.

The product of its digits is 864, while the sum is 23.

Adding to 122313213221 its reverse (122312313221), we get a palindrome (244625526442).

The spelling of 122313213221 in words is "one hundred twenty-two billion, three hundred thirteen million, two hundred thirteen thousand, two hundred twenty-one".