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10034221409 is a prime number
BaseRepresentation
bin10010101100001011…
…00001000101100001
3221220022011021001222
421112011201011201
5131022230041114
64335404104425
7503441321552
oct112605410541
927808137058
1010034221409
11428a069073
121b40535115
13c3bb0ca24
146b2910329
153dadbc98e
hex256161161

10034221409 has 2 divisors, whose sum is σ = 10034221410. Its totient is φ = 10034221408.

The previous prime is 10034221369. The next prime is 10034221451. The reversal of 10034221409 is 90412243001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5030781184 + 5003440225 = 70928^2 + 70735^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10034221409 is a prime.

It is not a weakly prime, because it can be changed into another prime (10034221459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5017110704 + 5017110705.

It is an arithmetic number, because the mean of its divisors is an integer number (5017110705).

Almost surely, 210034221409 is an apocalyptic number.

It is an amenable number.

10034221409 is a deficient number, since it is larger than the sum of its proper divisors (1).

10034221409 is an equidigital number, since it uses as much as digits as its factorization.

10034221409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 10034221409 in words is "ten billion, thirty-four million, two hundred twenty-one thousand, four hundred nine".