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1040110013 is a prime number
BaseRepresentation
bin111101111111101…
…101000110111101
32200111011001201002
4331333231012331
54112232010023
6251113100045
734526534465
oct7577550675
92614131632
101040110013
1149412a058
122503b7625
13137641b17
149c1ccba5
15614a5b28
hex3dfed1bd

1040110013 has 2 divisors, whose sum is σ = 1040110014. Its totient is φ = 1040110012.

The previous prime is 1040110007. The next prime is 1040110021. The reversal of 1040110013 is 3100110401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 990801529 + 49308484 = 31477^2 + 7022^2 .

It is an emirp because it is prime and its reverse (3100110401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1040110013 - 26 = 1040109949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1040109976 and 1040110003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1040110063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 520055006 + 520055007.

It is an arithmetic number, because the mean of its divisors is an integer number (520055007).

Almost surely, 21040110013 is an apocalyptic number.

It is an amenable number.

1040110013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1040110013 is an equidigital number, since it uses as much as digits as its factorization.

1040110013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1040110013 is about 32250.7366272462. The cubic root of 1040110013 is about 1013.1951271457.

Adding to 1040110013 its reverse (3100110401), we get a palindrome (4140220414).

The spelling of 1040110013 in words is "one billion, forty million, one hundred ten thousand, thirteen".