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122200310333113 is a prime number
BaseRepresentation
bin11011110010001111111010…
…000101101011111010111001
3121000200020100201212010101221
4123302033322011223322321
5112004112213421124423
61111522014135312041
734511452415343415
oct3362177205537271
9530606321763357
10122200310333113
1135a33951478041
12118572a481b621
13532559438836c
142226752d03d45
15e1da9ce57e5d
hex6f23fa16beb9

122200310333113 has 2 divisors, whose sum is σ = 122200310333114. Its totient is φ = 122200310333112.

The previous prime is 122200310333093. The next prime is 122200310333137. The reversal of 122200310333113 is 311333013002221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121874711137344 + 325599195769 = 11039688^2 + 570613^2 .

It is a cyclic number.

It is not a de Polignac number, because 122200310333113 - 29 = 122200310332601 is a prime.

It is not a weakly prime, because it can be changed into another prime (122200310333513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100155166556 + 61100155166557.

It is an arithmetic number, because the mean of its divisors is an integer number (61100155166557).

Almost surely, 2122200310333113 is an apocalyptic number.

It is an amenable number.

122200310333113 is a deficient number, since it is larger than the sum of its proper divisors (1).

122200310333113 is an equidigital number, since it uses as much as digits as its factorization.

122200310333113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 122200310333113 its reverse (311333013002221), we get a palindrome (433533323335334).

The spelling of 122200310333113 in words is "one hundred twenty-two trillion, two hundred billion, three hundred ten million, three hundred thirty-three thousand, one hundred thirteen".