Search a number
-
+
1013116417 is a prime number
BaseRepresentation
bin111100011000101…
…110111000000001
32121121100122110021
4330120232320001
54033324211132
6244310333441
734051230115
oct7430567001
92547318407
101013116417
1147a9723a5
1224335a281
13131b80391
14987a3745
155de22997
hex3c62ee01

1013116417 has 2 divisors, whose sum is σ = 1013116418. Its totient is φ = 1013116416.

The previous prime is 1013116409. The next prime is 1013116451. The reversal of 1013116417 is 7146113101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 868539841 + 144576576 = 29471^2 + 12024^2 .

It is an emirp because it is prime and its reverse (7146113101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1013116417 - 23 = 1013116409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013116391 and 1013116400.

It is not a weakly prime, because it can be changed into another prime (1013116457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506558208 + 506558209.

It is an arithmetic number, because the mean of its divisors is an integer number (506558209).

Almost surely, 21013116417 is an apocalyptic number.

It is an amenable number.

1013116417 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013116417 is an equidigital number, since it uses as much as digits as its factorization.

1013116417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 1013116417 is about 31829.4897382914. The cubic root of 1013116417 is about 1004.3531614876.

Adding to 1013116417 its reverse (7146113101), we get a palindrome (8159229518).

The spelling of 1013116417 in words is "one billion, thirteen million, one hundred sixteen thousand, four hundred seventeen".