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122313100409 is a prime number
BaseRepresentation
bin111000111101001101…
…1011100110001111001
3102200201012200021201222
41301322123130301321
54000444123203114
6132105002121425
711560014125243
oct1617233346171
9380635607658
10122313100409
1147966613755
121b8564b0275
13b6c3498336
145cc4625093
1532ad0b398e
hex1c7a6dcc79

122313100409 has 2 divisors, whose sum is σ = 122313100410. Its totient is φ = 122313100408.

The previous prime is 122313100331. The next prime is 122313100453. The reversal of 122313100409 is 904001313221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118284405625 + 4028694784 = 343925^2 + 63472^2 .

It is a cyclic number.

It is not a de Polignac number, because 122313100409 - 212 = 122313096313 is a prime.

It is not a weakly prime, because it can be changed into another prime (122313150409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61156550204 + 61156550205.

It is an arithmetic number, because the mean of its divisors is an integer number (61156550205).

Almost surely, 2122313100409 is an apocalyptic number.

It is an amenable number.

122313100409 is a deficient number, since it is larger than the sum of its proper divisors (1).

122313100409 is an equidigital number, since it uses as much as digits as its factorization.

122313100409 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 122313100409 in words is "one hundred twenty-two billion, three hundred thirteen million, one hundred thousand, four hundred nine".