Search a number
-
+
111100102225 = 527290693961
BaseRepresentation
bin110011101111000010…
…1010000011001010001
3101121202202102221220221
41213132011100121101
53310013111232400
6123012204433041
711012110200400
oct1473605203121
9347682387827
10111100102225
1143132125202
1219647248781
13a6273b5278
14553d34b637
152d5399dc1a
hex19de150651

111100102225 has 18 divisors (see below), whose sum is σ = 160256230854. Its totient is φ = 76182926400.

The previous prime is 111100102213. The next prime is 111100102241. The reversal of 111100102225 is 522201001111.

It can be written as a sum of positive squares in 3 ways, for example, as 12280407489 + 98819694736 = 110817^2 + 314356^2 .

It is not a de Polignac number, because 111100102225 - 217 = 111099971153 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111100102199 and 111100102208.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 45345756 + ... + 45348205.

Almost surely, 2111100102225 is an apocalyptic number.

It is an amenable number.

111100102225 is a deficient number, since it is larger than the sum of its proper divisors (49156128629).

111100102225 is an equidigital number, since it uses as much as digits as its factorization.

111100102225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90693985 (or 90693973 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 16.

Adding to 111100102225 its reverse (522201001111), we get a palindrome (633301103336).

The spelling of 111100102225 in words is "one hundred eleven billion, one hundred million, one hundred two thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 90693961 453469805 634857727 2267349025 3174288635 4444004089 15871443175 22220020445 111100102225