Search a number
-
+
1014131089 is a prime number
BaseRepresentation
bin111100011100100…
…110100110010001
32121200021012022201
4330130212212101
54034104143324
6244344203201
734062654256
oct7434464621
92550235281
101014131089
114804a5774
12243769501
1313214718a
149898942d
155e073444
hex3c726991

1014131089 has 2 divisors, whose sum is σ = 1014131090. Its totient is φ = 1014131088.

The previous prime is 1014131087. The next prime is 1014131093. The reversal of 1014131089 is 9801314101.

1014131089 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., 961496064 + 52635025 = 31008^2 + 7255^2 .

It is an emirp because it is prime and its reverse (9801314101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1014131089 - 21 = 1014131087 is a prime.

Together with 1014131087, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1014131081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 507065544 + 507065545.

It is an arithmetic number, because the mean of its divisors is an integer number (507065545).

Almost surely, 21014131089 is an apocalyptic number.

It is an amenable number.

1014131089 is a deficient number, since it is larger than the sum of its proper divisors (1).

1014131089 is an equidigital number, since it uses as much as digits as its factorization.

1014131089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 28.

The square root of 1014131089 is about 31845.4249304355. The cubic root of 1014131089 is about 1004.6883480417.

The spelling of 1014131089 in words is "one billion, fourteen million, one hundred thirty-one thousand, eighty-nine".