Search a number
-
+
1061100013 is a prime number
BaseRepresentation
bin111111001111110…
…001100111101101
32201221122110120111
4333033301213231
54133120200023
6253143020021
735203126021
oct7717614755
92657573514
101061100013
114a4a66166
1225743a611
1313bab0a3c
14a0cd4381
156325000d
hex3f3f19ed

1061100013 has 2 divisors, whose sum is σ = 1061100014. Its totient is φ = 1061100012.

The previous prime is 1061099993. The next prime is 1061100017. The reversal of 1061100013 is 3100011601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 766016329 + 295083684 = 27677^2 + 17178^2 .

It is a cyclic number.

It is not a de Polignac number, because 1061100013 - 25 = 1061099981 is a prime.

It is a super-2 number, since 2×10611000132 = 2251866475177200338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1061099966 and 1061100002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1061100017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 530550006 + 530550007.

It is an arithmetic number, because the mean of its divisors is an integer number (530550007).

Almost surely, 21061100013 is an apocalyptic number.

It is an amenable number.

1061100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1061100013 is an equidigital number, since it uses as much as digits as its factorization.

1061100013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1061100013 is about 32574.5301270793. The cubic root of 1061100013 is about 1019.9654009153.

Adding to 1061100013 its reverse (3100011601), we get a palindrome (4161111614).

The spelling of 1061100013 in words is "one billion, sixty-one million, one hundred thousand, thirteen".