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10522116225 = 325289975417
BaseRepresentation
bin10011100110010101…
…01100000010000001
31000011022012212221100
421303022230002001
5133022130204400
64500033245013
7521514340455
oct116312540201
930138185840
1010522116225
11450a507725
122057a03769
13cb8c16c9a
1471b634665
15418b44100
hex2732ac081

10522116225 has 72 divisors (see below), whose sum is σ = 19258064280. Its totient is φ = 5490524160.

The previous prime is 10522116223. The next prime is 10522116233. The reversal of 10522116225 is 52261122501.

10522116225 is a `hidden beast` number, since 1 + 0 + 5 + 22 + 11 + 622 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 7199861904 + 3322254321 = 84852^2 + 57639^2 .

It is not a de Polignac number, because 10522116225 - 21 = 10522116223 is a prime.

It is a super-2 number, since 2×105221162252 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10522116223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1939717 + ... + 1945133.

It is an arithmetic number, because the mean of its divisors is an integer number (267473115).

Almost surely, 210522116225 is an apocalyptic number.

10522116225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10522116225 is a deficient number, since it is larger than the sum of its proper divisors (8735948055).

10522116225 is a wasteful number, since it uses less digits than its factorization.

10522116225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5619 (or 5611 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 10522116225 its reverse (52261122501), we get a palindrome (62783238726).

The spelling of 10522116225 in words is "ten billion, five hundred twenty-two million, one hundred sixteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 89 97 225 267 291 445 485 801 873 1335 1455 2225 2425 4005 4365 5417 6675 7275 8633 16251 20025 21825 25899 27085 43165 48753 77697 81255 129495 135425 215825 243765 388485 406275 482113 525449 647475 1218825 1446339 1576347 1942425 2410565 2627245 4339017 4729041 7231695 7881735 12052825 13136225 21695085 23645205 36158475 39408675 46764961 108475425 118226025 140294883 233824805 420884649 701474415 1169124025 2104423245 3507372075 10522116225