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210112222129 is a prime number
BaseRepresentation
bin1100001110101110101…
…0100001001110110001
3202002100002012210102221
43003223222201032301
511420302212102004
6240305122041041
721115530264115
oct3035352411661
9662302183387
10210112222129
1181120965377
123487a1a9181
1316a7633c274
14a2530d7745
1556eb0ed354
hex30ebaa13b1

210112222129 has 2 divisors, whose sum is σ = 210112222130. Its totient is φ = 210112222128.

The previous prime is 210112222087. The next prime is 210112222193. The reversal of 210112222129 is 921222211012.

It is a happy number.

210112222129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 179375119729 + 30737102400 = 423527^2 + 175320^2 .

It is a cyclic number.

It is not a de Polignac number, because 210112222129 - 213 = 210112213937 is a prime.

It is not a weakly prime, because it can be changed into another prime (210112222829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105056111064 + 105056111065.

It is an arithmetic number, because the mean of its divisors is an integer number (105056111065).

Almost surely, 2210112222129 is an apocalyptic number.

It is an amenable number.

210112222129 is a deficient number, since it is larger than the sum of its proper divisors (1).

210112222129 is an equidigital number, since it uses as much as digits as its factorization.

210112222129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 210112222129 in words is "two hundred ten billion, one hundred twelve million, two hundred twenty-two thousand, one hundred twenty-nine".