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122231300129 is a prime number
BaseRepresentation
bin111000111010110001…
…1011010000000100001
3102200111111202101211222
41301311203122000201
54000312203101004
6132052520544425
711555001623411
oct1616543320041
9380444671758
10122231300129
1147924422a14
121b833022115
13b6ac5576c3
145cb7810641
1532a5d067be
hex1c758da021

122231300129 has 2 divisors, whose sum is σ = 122231300130. Its totient is φ = 122231300128.

The previous prime is 122231300057. The next prime is 122231300131. The reversal of 122231300129 is 921003132221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104448544225 + 17782755904 = 323185^2 + 133352^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122231300129 is a prime.

Together with 122231300131, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 122231300098 and 122231300107.

It is not a weakly prime, because it can be changed into another prime (122231300929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61115650064 + 61115650065.

It is an arithmetic number, because the mean of its divisors is an integer number (61115650065).

Almost surely, 2122231300129 is an apocalyptic number.

It is an amenable number.

122231300129 is a deficient number, since it is larger than the sum of its proper divisors (1).

122231300129 is an equidigital number, since it uses as much as digits as its factorization.

122231300129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 122231300129 in words is "one hundred twenty-two billion, two hundred thirty-one million, three hundred thousand, one hundred twenty-nine".