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122313001033 is a prime number
BaseRepresentation
bin111000111101001101…
…1000100100001001001
3102200201012111020102101
41301322123010201021
54000444112013113
6132105000033401
711560013232436
oct1617233044111
9380635436371
10122313001033
1147966556023
121b856462861
13b6c3462032
145cc45dab8d
1532ad0942dd
hex1c7a6c4849

122313001033 has 2 divisors, whose sum is σ = 122313001034. Its totient is φ = 122313001032.

The previous prime is 122313001009. The next prime is 122313001051. The reversal of 122313001033 is 330100313221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73176742144 + 49136258889 = 270512^2 + 221667^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122313001033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122313001033.

It is not a weakly prime, because it can be changed into another prime (122313001003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61156500516 + 61156500517.

It is an arithmetic number, because the mean of its divisors is an integer number (61156500517).

Almost surely, 2122313001033 is an apocalyptic number.

It is an amenable number.

122313001033 is a deficient number, since it is larger than the sum of its proper divisors (1).

122313001033 is an equidigital number, since it uses as much as digits as its factorization.

122313001033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 122313001033 its reverse (330100313221), we get a palindrome (452413314254).

The spelling of 122313001033 in words is "one hundred twenty-two billion, three hundred thirteen million, one thousand, thirty-three".