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10111010249 is a prime number
BaseRepresentation
bin10010110101010100…
…11100010111001001
3222002122122112120002
421122222130113021
5131201404311444
64351150012345
7505363111664
oct113252342711
928078575502
1010111010249
11431944671a
121b621a70b5
13c519b7602
146bcbbc6db
153e29d9d4e
hex25aa9c5c9

10111010249 has 2 divisors, whose sum is σ = 10111010250. Its totient is φ = 10111010248.

The previous prime is 10111010237. The next prime is 10111010263. The reversal of 10111010249 is 94201011101.

10111010249 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., 6385128649 + 3725881600 = 79907^2 + 61040^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10111010249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10111010249.

It is not a weakly prime, because it can be changed into another prime (10111010849) 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, 5055505124 + 5055505125.

It is an arithmetic number, because the mean of its divisors is an integer number (5055505125).

Almost surely, 210111010249 is an apocalyptic number.

It is an amenable number.

10111010249 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111010249 is an equidigital number, since it uses as much as digits as its factorization.

10111010249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 10111010249 in words is "ten billion, one hundred eleven million, ten thousand, two hundred forty-nine".