Search a number
-
+
111000497 = 1753349353
BaseRepresentation
bin1101001110110…
…11101110110001
321201212102001112
412213123232301
5211404003442
615003043105
72515326416
oct647335661
9251772045
10111000497
1157725353
1231210495
1319cc588a
1410a5610d
159b29082
hex69dbbb1

111000497 has 16 divisors (see below), whose sum is σ = 120430800. Its totient is φ = 101916672.

The previous prime is 111000473. The next prime is 111000499. The reversal of 111000497 is 794000111.

It can be written as a sum of positive squares in 8 ways, for example, as 12117361 + 98883136 = 3481^2 + 9944^2 .

It is a cyclic number.

It is not a de Polignac number, because 111000497 - 212 = 110996401 is a prime.

It is a super-2 number, since 2×1110004972 = 24642220668494018, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111000499) 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 15 ways as a sum of consecutive naturals, for example, 314273 + ... + 314625.

It is an arithmetic number, because the mean of its divisors is an integer number (7526925).

Almost surely, 2111000497 is an apocalyptic number.

111000497 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

111000497 is a deficient number, since it is larger than the sum of its proper divisors (9430303).

111000497 is a wasteful number, since it uses less digits than its factorization.

111000497 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772.

The product of its (nonzero) digits is 252, while the sum is 23.

The square root of 111000497 is about 10535.6773394025. The cubic root of 111000497 is about 480.5902706458.

The spelling of 111000497 in words is "one hundred eleven million, four hundred ninety-seven", and thus it is an aban number.

Divisors: 1 17 53 349 353 901 5933 6001 18497 18709 123197 314449 318053 2094349 6529441 111000497