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10090861961 is a prime number
BaseRepresentation
bin10010110010111011…
…00101010110001001
3222001020201220022012
421121131211112021
5131131230040321
64345150105305
7505026624425
oct113135452611
928036656265
1010090861961
114309034a44
121b574ab235
13c4a78184b
146ba255b85
153e0d5a05b
hex259765589

10090861961 has 2 divisors, whose sum is σ = 10090861962. Its totient is φ = 10090861960.

The previous prime is 10090861939. The next prime is 10090861993. The reversal of 10090861961 is 16916809001.

It is a happy number.

10090861961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8566428025 + 1524433936 = 92555^2 + 39044^2 .

It is an emirp because it is prime and its reverse (16916809001) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 19619806001 and 10060891691.

It is a cyclic number.

It is not a de Polignac number, because 10090861961 - 210 = 10090860937 is a prime.

It is not a weakly prime, because it can be changed into another prime (10090861061) 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, 5045430980 + 5045430981.

It is an arithmetic number, because the mean of its divisors is an integer number (5045430981).

Almost surely, 210090861961 is an apocalyptic number.

It is an amenable number.

10090861961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10090861961 is an equidigital number, since it uses as much as digits as its factorization.

10090861961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 41.

The spelling of 10090861961 in words is "ten billion, ninety million, eight hundred sixty-one thousand, nine hundred sixty-one".