Search a number
-
+
10111012309 is a prime number
BaseRepresentation
bin10010110101010100…
…11100110111010101
3222002122122122101101
421122222130313111
5131201404343214
64351150030101
7505363120666
oct113252346725
928078578341
1010111012309
114319448222
121b621a8331
13c519b8528
146bcbbd36d
153e29da774
hex25aa9cdd5

10111012309 has 2 divisors, whose sum is σ = 10111012310. Its totient is φ = 10111012308.

The previous prime is 10111012283. The next prime is 10111012339. The reversal of 10111012309 is 90321011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5995404900 + 4115607409 = 77430^2 + 64153^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111012309 - 27 = 10111012181 is a prime.

It is a super-2 number, since 2×101110123092 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10111012339) 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, 5055506154 + 5055506155.

It is an arithmetic number, because the mean of its divisors is an integer number (5055506155).

Almost surely, 210111012309 is an apocalyptic number.

It is an amenable number.

10111012309 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111012309 is an equidigital number, since it uses as much as digits as its factorization.

10111012309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 19.

The spelling of 10111012309 in words is "ten billion, one hundred eleven million, twelve thousand, three hundred nine".