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199960961 is a prime number
BaseRepresentation
bin10111110101100…
…10100110000001
3111221021001212112
423322302212001
5402142222321
631501505105
74645432364
oct1372624601
9457231775
10199960961
11a29666a2
1256b72195
13325725c5
141c7b20db
151284ca5b
hexbeb2981

199960961 has 2 divisors, whose sum is σ = 199960962. Its totient is φ = 199960960.

The previous prime is 199960949. The next prime is 199960967. The reversal of 199960961 is 169069991.

199960961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 172764736 + 27196225 = 13144^2 + 5215^2 .

It is an emirp because it is prime and its reverse (169069991) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 199960961 - 222 = 195766657 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (199960967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 99980480 + 99980481.

It is an arithmetic number, because the mean of its divisors is an integer number (99980481).

Almost surely, 2199960961 is an apocalyptic number.

It is an amenable number.

199960961 is a deficient number, since it is larger than the sum of its proper divisors (1).

199960961 is an equidigital number, since it uses as much as digits as its factorization.

199960961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 236196, while the sum is 50.

The square root of 199960961 is about 14140.7553192890. The cubic root of 199960961 is about 584.7654949237.

The spelling of 199960961 in words is "one hundred ninety-nine million, nine hundred sixty thousand, nine hundred sixty-one".