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12200221110029 is a prime number
BaseRepresentation
bin1011000110001001010111…
…0110000110111100001101
31121012022220101102100020012
42301202111312012330031
53044342023101010104
641540412035203005
72366302565245121
oct261422566067415
947168811370205
1012200221110029
1139840a2837267
121450599446465
136a66257777a4
143026cb1b9581
151625509bdd6e
hexb1895d86f0d

12200221110029 has 2 divisors, whose sum is σ = 12200221110030. Its totient is φ = 12200221110028.

The previous prime is 12200221110019. The next prime is 12200221110037. The reversal of 12200221110029 is 92001112200221.

12200221110029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12163423512100 + 36797597929 = 3487610^2 + 191827^2 .

It is a cyclic number.

It is not a de Polignac number, because 12200221110029 - 28 = 12200221109773 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12200221109986 and 12200221110013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12200221110019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100110555014 + 6100110555015.

It is an arithmetic number, because the mean of its divisors is an integer number (6100110555015).

Almost surely, 212200221110029 is an apocalyptic number.

It is an amenable number.

12200221110029 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200221110029 is an equidigital number, since it uses as much as digits as its factorization.

12200221110029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 12200221110029 in words is "twelve trillion, two hundred billion, two hundred twenty-one million, one hundred ten thousand, twenty-nine".