Base | Representation |
---|---|
bin | 10110101010110011… |
… | …11100001100100001 |
3 | 1011102011112101000100 |
4 | 23111121330030201 |
5 | 144411043004021 |
6 | 5331351213013 |
7 | 610406455011 |
oct | 132531741441 |
9 | 34364471010 |
10 | 12170281761 |
11 | 5185896900 |
12 | 2437977169 |
13 | 11bc515171 |
14 | 8364a5c41 |
15 | 4b36a9626 |
hex | 2d567c321 |
12170281761 has 27 divisors (see below), whose sum is σ = 19328478897. Its totient is φ = 7373721960.
The previous prime is 12170281741. The next prime is 12170281769. The reversal of 12170281761 is 16718207121.
The square root of 12170281761 is 110319.
It is a perfect power (a square), and thus also a powerful number.
12170281761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 12170281761 - 25 = 12170281729 is a prime.
It is a super-2 number, since 2×121702817612 (a number of 21 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is not an unprimeable number, because it can be changed into a prime (12170281769) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3638856 + ... + 3642198.
Almost surely, 212170281761 is an apocalyptic number.
12170281761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
12170281761 is the 110319-th square number.
12170281761 is the 55160-th centered octagonal number.
It is an amenable number.
12170281761 is a deficient number, since it is larger than the sum of its proper divisors (7158197136).
12170281761 is an frugal number, since it uses more digits than its factorization.
12170281761 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6714 (or 3357 counting only the distinct ones).
The product of its (nonzero) digits is 9408, while the sum is 36.
Multiplying 12170281761 by its sum of digits (36), we get a square (438130143396 = 6619142).
Adding to 12170281761 its reverse (16718207121), we get a palindrome (28888488882).
The spelling of 12170281761 in words is "twelve billion, one hundred seventy million, two hundred eighty-one thousand, seven hundred sixty-one".
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