Search a number
-
+
1012357013 is a prime number
BaseRepresentation
bin111100010101110…
…101011110010101
32121112221001202012
4330111311132111
54033130411023
6244242154005
734041615113
oct7425653625
92545831665
101012357013
1147a4a3898
12243052905
13131975825
1498646ab3
155dd22978
hex3c575795

1012357013 has 2 divisors, whose sum is σ = 1012357014. Its totient is φ = 1012357012.

The previous prime is 1012357009. The next prime is 1012357019. The reversal of 1012357013 is 3107532101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 572070724 + 440286289 = 23918^2 + 20983^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012357013 - 22 = 1012357009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1012357013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1012357019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506178506 + 506178507.

It is an arithmetic number, because the mean of its divisors is an integer number (506178507).

Almost surely, 21012357013 is an apocalyptic number.

It is an amenable number.

1012357013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012357013 is an equidigital number, since it uses as much as digits as its factorization.

1012357013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 1012357013 is about 31817.5582501235. The cubic root of 1012357013 is about 1004.1021536588.

Adding to 1012357013 its reverse (3107532101), we get a palindrome (4119889114).

The spelling of 1012357013 in words is "one billion, twelve million, three hundred fifty-seven thousand, thirteen".