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122200111109873 is a prime number
BaseRepresentation
bin11011110010001111101110…
…001101101101011011110001
3121000200012211211222112111102
4123302033232031231123301
5112004111311421003443
61111521542301254145
734511444446102556
oct3362175615553361
9530605754875442
10122200111109873
1135a33859a75735
1211857249b64355
1353255620137a4
142226734684a2d
15e1da8a703cb8
hex6f23ee36d6f1

122200111109873 has 2 divisors, whose sum is σ = 122200111109874. Its totient is φ = 122200111109872.

The previous prime is 122200111109831. The next prime is 122200111109893. The reversal of 122200111109873 is 378901111002221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81142478599744 + 41057632510129 = 9007912^2 + 6407623^2 .

It is a cyclic number.

It is not a de Polignac number, because 122200111109873 - 246 = 51831366932209 is a prime.

It is a super-2 number, since 2×1222001111098732 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122200111109893) 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, 61100055554936 + 61100055554937.

It is an arithmetic number, because the mean of its divisors is an integer number (61100055554937).

Almost surely, 2122200111109873 is an apocalyptic number.

It is an amenable number.

122200111109873 is a deficient number, since it is larger than the sum of its proper divisors (1).

122200111109873 is an equidigital number, since it uses as much as digits as its factorization.

122200111109873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 38.

The spelling of 122200111109873 in words is "one hundred twenty-two trillion, two hundred billion, one hundred eleven million, one hundred nine thousand, eight hundred seventy-three".