Search a number
-
+
10127228849 is a prime number
BaseRepresentation
bin10010110111010000…
…10011111110110001
3222010210011112021222
421123220103332301
5131220032310344
64352525354425
7505651011353
oct113350237661
928123145258
1010127228849
114327613a21
121b67708a15
13c5517580a
146c10010d3
153e41405ee
hex25ba13fb1

10127228849 has 2 divisors, whose sum is σ = 10127228850. Its totient is φ = 10127228848.

The previous prime is 10127228833. The next prime is 10127228857. The reversal of 10127228849 is 94882272101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9254440000 + 872788849 = 96200^2 + 29543^2 .

It is a cyclic number.

It is not a de Polignac number, because 10127228849 - 24 = 10127228833 is a prime.

It is not a weakly prime, because it can be changed into another prime (10127228249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5063614424 + 5063614425.

It is an arithmetic number, because the mean of its divisors is an integer number (5063614425).

Almost surely, 210127228849 is an apocalyptic number.

It is an amenable number.

10127228849 is a deficient number, since it is larger than the sum of its proper divisors (1).

10127228849 is an equidigital number, since it uses as much as digits as its factorization.

10127228849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129024, while the sum is 44.

The spelling of 10127228849 in words is "ten billion, one hundred twenty-seven million, two hundred twenty-eight thousand, eight hundred forty-nine".