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122100302329 is a prime number
BaseRepresentation
bin111000110110110111…
…1101100000111111001
3102200011101021000122121
41301231233230013321
54000030134133304
6132031521121241
711551521305545
oct1615557540771
9380141230577
10122100302329
114786748a375
121b7b7189221
13b68b37ca05
145ca4270a25
15329957c554
hex1c6dbec1f9

122100302329 has 2 divisors, whose sum is σ = 122100302330. Its totient is φ = 122100302328.

The previous prime is 122100302287. The next prime is 122100302381. The reversal of 122100302329 is 923203001221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80043726400 + 42056575929 = 282920^2 + 205077^2 .

It is a cyclic number.

It is not a de Polignac number, because 122100302329 - 223 = 122091913721 is a prime.

It is not a weakly prime, because it can be changed into another prime (122100302029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050151164 + 61050151165.

It is an arithmetic number, because the mean of its divisors is an integer number (61050151165).

Almost surely, 2122100302329 is an apocalyptic number.

It is an amenable number.

122100302329 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100302329 is an equidigital number, since it uses as much as digits as its factorization.

122100302329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

The spelling of 122100302329 in words is "one hundred twenty-two billion, one hundred million, three hundred two thousand, three hundred twenty-nine".