Search a number
-
+
819027113 = 107271537
BaseRepresentation
bin110000110100010…
…101110010101001
32010002010212222112
4300310111302221
53134132331423
6213134332105
726203421102
oct6064256251
92102125875
10819027113
11390357213
121aa35a035
131008b5538
147aabd3a9
154bd84a78
hex30d15ca9

819027113 has 6 divisors (see below), whose sum is σ = 826764666. Its totient is φ = 811361312.

The previous prime is 819027089. The next prime is 819027119. The reversal of 819027113 is 311720918.

It can be written as a sum of positive squares in only one way, i.e., 664969369 + 154057744 = 25787^2 + 12412^2 .

It is a de Polignac number, because none of the positive numbers 2k-819027113 is a prime.

It is a super-2 number, since 2×8190271132 = 1341610823658229538, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 819027113.

It is not an unprimeable number, because it can be changed into a prime (819027119) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24320 + ... + 47217.

It is an arithmetic number, because the mean of its divisors is an integer number (137794111).

Almost surely, 2819027113 is an apocalyptic number.

It is an amenable number.

819027113 is a deficient number, since it is larger than the sum of its proper divisors (7737553).

819027113 is an equidigital number, since it uses as much as digits as its factorization.

819027113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71751 (or 71644 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 32.

The square root of 819027113 is about 28618.6497410343. The cubic root of 819027113 is about 935.6198480743.

The spelling of 819027113 in words is "eight hundred nineteen million, twenty-seven thousand, one hundred thirteen".

Divisors: 1 107 11449 71537 7654459 819027113