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122201111111029 is a prime number
BaseRepresentation
bin11011110010010000101001…
…110100011010010101110101
3121000200022102112122212012021
4123302100221310122111311
5112004120333421023104
61111522225422553141
734511511311010046
oct3362205164322565
9530608375585167
10122201111111029
1135a3422249a375
1211857488a387b1
135325691251352
1422267cb3d28cd
15e1dae83d5754
hex6f2429d1a575

122201111111029 has 2 divisors, whose sum is σ = 122201111111030. Its totient is φ = 122201111111028.

The previous prime is 122201111110961. The next prime is 122201111111147. The reversal of 122201111111029 is 920111111102221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88040651468004 + 34160459643025 = 9382998^2 + 5844695^2 .

It is a cyclic number.

It is not a de Polignac number, because 122201111111029 - 217 = 122201110979957 is a prime.

It is a super-2 number, since 2×1222011111110292 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122201111110994 and 122201111111012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122201111112029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100555555514 + 61100555555515.

It is an arithmetic number, because the mean of its divisors is an integer number (61100555555515).

Almost surely, 2122201111111029 is an apocalyptic number.

It is an amenable number.

122201111111029 is a deficient number, since it is larger than the sum of its proper divisors (1).

122201111111029 is an equidigital number, since it uses as much as digits as its factorization.

122201111111029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 25.

The spelling of 122201111111029 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred eleven million, one hundred eleven thousand, twenty-nine".