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122338227101 is a prime number
BaseRepresentation
bin111000111101111101…
…1010011001110011101
3102200202221221212002012
41301323323103032131
54001022041231401
6132111300441005
711560440526016
oct1617373231635
9380687855065
10122338227101
1147979815812
121b8629a9165
13b6c87550bc
145cc7ac600d
1532b03c88bb
hex1c7bed339d

122338227101 has 2 divisors, whose sum is σ = 122338227102. Its totient is φ = 122338227100.

The previous prime is 122338227097. The next prime is 122338227133. The reversal of 122338227101 is 101722833221.

It is an a-pointer prime, because the next prime (122338227133) can be obtained adding 122338227101 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97187439001 + 25150788100 = 311749^2 + 158590^2 .

It is a cyclic number.

It is not a de Polignac number, because 122338227101 - 22 = 122338227097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122338227301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61169113550 + 61169113551.

It is an arithmetic number, because the mean of its divisors is an integer number (61169113551).

Almost surely, 2122338227101 is an apocalyptic number.

It is an amenable number.

122338227101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122338227101 is an equidigital number, since it uses as much as digits as its factorization.

122338227101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 122338227101 in words is "one hundred twenty-two billion, three hundred thirty-eight million, two hundred twenty-seven thousand, one hundred one".