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12114304225 = 52220132
BaseRepresentation
bin10110100100001000…
…11001110011100001
31011021021012102021021
423102010121303201
5144302230213400
65322031325441
7606126613132
oct132204316341
934237172237
1012114304225
115157233081
122421080881
1311b0a4606a
1482cc93c89
154ad7ed71a
hex2d2119ce1

12114304225 has 9 divisors (see below), whose sum is σ = 15022419673. Its totient is φ = 9691003120.

The previous prime is 12114304177. The next prime is 12114304249. The reversal of 12114304225 is 52240341121.

The square root of 12114304225 is 110065.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 37173409 + 12077130816 = 6097^2 + 109896^2 .

It is a de Polignac number, because none of the positive numbers 2k-12114304225 is a prime.

It is a super-3 number, since 3×121143042253 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12114304225.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 539319 + ... + 561331.

Almost surely, 212114304225 is an apocalyptic number.

12114304225 is the 110065-th square number.

12114304225 is the 55033-rd centered octagonal number.

It is an amenable number.

12114304225 is a deficient number, since it is larger than the sum of its proper divisors (2908115448).

12114304225 is an frugal number, since it uses more digits than its factorization.

12114304225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44036 (or 22018 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Multiplying 12114304225 by its sum of digits (25), we get a square (302857605625 = 5503252).

12114304225 divided by its sum of digits (25) gives a square (484572169 = 220132).

Adding to 12114304225 its reverse (52240341121), we get a palindrome (64354645346).

The spelling of 12114304225 in words is "twelve billion, one hundred fourteen million, three hundred four thousand, two hundred twenty-five".

Divisors: 1 5 25 22013 110065 550325 484572169 2422860845 12114304225