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123201323129 is a prime number
BaseRepresentation
bin111001010111101011…
…1110000000001111001
3102210000010000200020202
41302233113300001321
54004304014320004
6132333051531545
711621020652663
oct1625727600171
9383003020222
10123201323129
1148281a31615
121ba63a59bb5
13b8054ca201
145d6a597533
153311065b1e
hex1caf5f0079

123201323129 has 2 divisors, whose sum is σ = 123201323130. Its totient is φ = 123201323128.

The previous prime is 123201323111. The next prime is 123201323131. The reversal of 123201323129 is 921323102321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78531655225 + 44669667904 = 280235^2 + 211352^2 .

It is a cyclic number.

It is not a de Polignac number, because 123201323129 - 216 = 123201257593 is a prime.

Together with 123201323131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (123201323429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61600661564 + 61600661565.

It is an arithmetic number, because the mean of its divisors is an integer number (61600661565).

Almost surely, 2123201323129 is an apocalyptic number.

It is an amenable number.

123201323129 is a deficient number, since it is larger than the sum of its proper divisors (1).

123201323129 is an equidigital number, since it uses as much as digits as its factorization.

123201323129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 123201323129 in words is "one hundred twenty-three billion, two hundred one million, three hundred twenty-three thousand, one hundred twenty-nine".