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210121200329 is a prime number
BaseRepresentation
bin1100001110110000110…
…0110001001011001001
3202002100201002221012212
43003230030301023021
511420312011402304
6240310042314505
721115666506455
oct3035414611311
9662321087185
10210121200329
1181125a37877
12348811b8a35
1316a78163a01
14a254393665
1556ebcc366e
hex30ec3312c9

210121200329 has 2 divisors, whose sum is σ = 210121200330. Its totient is φ = 210121200328.

The previous prime is 210121200271. The next prime is 210121200413. The reversal of 210121200329 is 923002121012.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 198334841104 + 11786359225 = 445348^2 + 108565^2 .

It is a cyclic number.

It is not a de Polignac number, because 210121200329 - 220 = 210120151753 is a prime.

It is not a weakly prime, because it can be changed into another prime (210124200329) 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, 105060600164 + 105060600165.

It is an arithmetic number, because the mean of its divisors is an integer number (105060600165).

Almost surely, 2210121200329 is an apocalyptic number.

It is an amenable number.

210121200329 is a deficient number, since it is larger than the sum of its proper divisors (1).

210121200329 is an equidigital number, since it uses as much as digits as its factorization.

210121200329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 210121200329 in words is "two hundred ten billion, one hundred twenty-one million, two hundred thousand, three hundred twenty-nine".