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1036050013 is a prime number
BaseRepresentation
bin111101110000001…
…101111001011101
32200012111210102201
4331300031321131
54110212100023
6250450051501
734450164655
oct7560157135
92605453381
101036050013
11491906789
1224ab79b91
1313684cb5b
149b853365
1560e52bad
hex3dc0de5d

1036050013 has 2 divisors, whose sum is σ = 1036050014. Its totient is φ = 1036050012.

The previous prime is 1036049981. The next prime is 1036050079. The reversal of 1036050013 is 3100506301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 631114884 + 404935129 = 25122^2 + 20123^2 .

It is an emirp because it is prime and its reverse (3100506301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1036050013 - 25 = 1036049981 is a prime.

It is a super-3 number, since 3×10360500133 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1036050913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 518025006 + 518025007.

It is an arithmetic number, because the mean of its divisors is an integer number (518025007).

Almost surely, 21036050013 is an apocalyptic number.

It is an amenable number.

1036050013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1036050013 is an equidigital number, since it uses as much as digits as its factorization.

1036050013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 1036050013 is about 32187.7307836387. The cubic root of 1036050013 is about 1011.8750949204.

Adding to 1036050013 its reverse (3100506301), we get a palindrome (4136556314).

The spelling of 1036050013 in words is "one billion, thirty-six million, fifty thousand, thirteen".