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10281920057 is a prime number
BaseRepresentation
bin10011001001101100…
…11010011000111001
3222112120020122201222
421210312122120321
5132024132420212
64420133121425
7512536610213
oct114466323071
928476218658
1010281920057
1143a696a7a2
121bab489275
13c7b227a86
146d778b5b3
154029e9c72
hex264d9a639

10281920057 has 2 divisors, whose sum is σ = 10281920058. Its totient is φ = 10281920056.

The previous prime is 10281919993. The next prime is 10281920107. The reversal of 10281920057 is 75002918201.

10281920057 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., 10188681721 + 93238336 = 100939^2 + 9656^2 .

It is an emirp because it is prime and its reverse (75002918201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10281920057 - 26 = 10281919993 is a prime.

It is a super-3 number, since 3×102819200573 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10281919999 and 10281920026.

It is not a weakly prime, because it can be changed into another prime (10281929057) 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, 5140960028 + 5140960029.

It is an arithmetic number, because the mean of its divisors is an integer number (5140960029).

Almost surely, 210281920057 is an apocalyptic number.

It is an amenable number.

10281920057 is a deficient number, since it is larger than the sum of its proper divisors (1).

10281920057 is an equidigital number, since it uses as much as digits as its factorization.

10281920057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 35.

The spelling of 10281920057 in words is "ten billion, two hundred eighty-one million, nine hundred twenty thousand, fifty-seven".