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210221100029 is a prime number
BaseRepresentation
bin1100001111001000100…
…1110110101111111101
3202002121200002100211202
43003302021312233331
511421013100200104
6240324011425245
721121321603313
oct3036211665775
9662550070752
10210221100029
118117736aa06
12348aa755225
1316a92a70965
14a26375a0b3
15570595851e
hex30f2276bfd

210221100029 has 2 divisors, whose sum is σ = 210221100030. Its totient is φ = 210221100028.

The previous prime is 210221099989. The next prime is 210221100059. The reversal of 210221100029 is 920001122012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206454823129 + 3766276900 = 454373^2 + 61370^2 .

It is a cyclic number.

It is not a de Polignac number, because 210221100029 - 228 = 209952664573 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210221100059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105110550014 + 105110550015.

It is an arithmetic number, because the mean of its divisors is an integer number (105110550015).

Almost surely, 2210221100029 is an apocalyptic number.

It is an amenable number.

210221100029 is a deficient number, since it is larger than the sum of its proper divisors (1).

210221100029 is an equidigital number, since it uses as much as digits as its factorization.

210221100029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 210221100029 in words is "two hundred ten billion, two hundred twenty-one million, one hundred thousand, twenty-nine".