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1071105225 = 352119311971
BaseRepresentation
bin111111110101111…
…100010011001001
32202122110210010220
4333311330103021
54143200331400
6254141300253
735354146521
oct7765742311
92678423126
101071105225
114aa67a233
1225a864689
13140ba4a98
14a237a681
15640797a0
hex3fd7c4c9

1071105225 has 24 divisors (see below), whose sum is σ = 1772526432. Its totient is φ = 570729600.

The previous prime is 1071105223. The next prime is 1071105229. The reversal of 1071105225 is 5225011701.

1071105225 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1071105225 - 21 = 1071105223 is a prime.

It is a super-2 number, since 2×10711052252 = 2294532806044601250, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1071105195 and 1071105204.

It is not an unprimeable number, because it can be changed into a prime (1071105223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83490 + ... + 95460.

It is an arithmetic number, because the mean of its divisors is an integer number (73855268).

Almost surely, 21071105225 is an apocalyptic number.

1071105225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1071105225 is a deficient number, since it is larger than the sum of its proper divisors (701421207).

1071105225 is a wasteful number, since it uses less digits than its factorization.

1071105225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13177 (or 13172 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 24.

The square root of 1071105225 is about 32727.7439644104. The cubic root of 1071105225 is about 1023.1611607786.

Adding to 1071105225 its reverse (5225011701), we get a palindrome (6296116926).

The spelling of 1071105225 in words is "one billion, seventy-one million, one hundred five thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 75 1193 3579 5965 11971 17895 29825 35913 59855 89475 179565 299275 897825 14281403 42844209 71407015 214221045 357035075 1071105225