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122123103301 is a prime number
BaseRepresentation
bin111000110111100011…
…0101010110001000101
3102200012222011102201001
41301233012222301011
54000102003301201
6132034053533301
711552216151643
oct1615706526105
9380188142631
10122123103301
1147879343051
121b802944231
13b693004004
145ca72c8193
15329b583301
hex1c6f1aac45

122123103301 has 2 divisors, whose sum is σ = 122123103302. Its totient is φ = 122123103300.

The previous prime is 122123103283. The next prime is 122123103317. The reversal of 122123103301 is 103301321221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87814432225 + 34308671076 = 296335^2 + 185226^2 .

It is a cyclic number.

It is not a de Polignac number, because 122123103301 - 27 = 122123103173 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122123103331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061551650 + 61061551651.

It is an arithmetic number, because the mean of its divisors is an integer number (61061551651).

Almost surely, 2122123103301 is an apocalyptic number.

It is an amenable number.

122123103301 is a deficient number, since it is larger than the sum of its proper divisors (1).

122123103301 is an equidigital number, since it uses as much as digits as its factorization.

122123103301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 122123103301 its reverse (103301321221), we get a palindrome (225424424522).

The spelling of 122123103301 in words is "one hundred twenty-two billion, one hundred twenty-three million, one hundred three thousand, three hundred one".