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210101330129 is a prime number
BaseRepresentation
bin1100001110101100000…
…0111110000011010001
3202002022022201102102112
43003223000332003101
511420241420031004
6240304052355105
721115335561035
oct3035300760321
9662268642375
10210101330129
11811157a6019
1234876615a95
1316a73cc76b2
14a2518a01c5
1556ea19ae6e
hex30eb03e0d1

210101330129 has 2 divisors, whose sum is σ = 210101330130. Its totient is φ = 210101330128.

The previous prime is 210101330123. The next prime is 210101330171. The reversal of 210101330129 is 921033101012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 152980330129 + 57121000000 = 391127^2 + 239000^2 .

It is a cyclic number.

It is not a de Polignac number, because 210101330129 - 232 = 205806362833 is a prime.

It is not a weakly prime, because it can be changed into another prime (210101330123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105050665064 + 105050665065.

It is an arithmetic number, because the mean of its divisors is an integer number (105050665065).

Almost surely, 2210101330129 is an apocalyptic number.

It is an amenable number.

210101330129 is a deficient number, since it is larger than the sum of its proper divisors (1).

210101330129 is an equidigital number, since it uses as much as digits as its factorization.

210101330129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

The spelling of 210101330129 in words is "two hundred ten billion, one hundred one million, three hundred thirty thousand, one hundred twenty-nine".