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1283383108225 = 5223298512
BaseRepresentation
bin10010101011001111100…
…110000010001010000001
311112200122011201220000001
4102223033212002022001
5132011332033430400
62421324510000001
7161502300266641
oct22531746021201
94480564656001
101283383108225
11455309341489
1218888a4a6001
139403a5acbba
144618a714521
15235b51c6a6a
hex12acf982281

1283383108225 has 27 divisors (see below), whose sum is σ = 1663763344579. Its totient is φ = 981967382000.

The previous prime is 1283383108223. The next prime is 1283383108243. The reversal of 1283383108225 is 5228013833821.

The square root of 1283383108225 is 1132865.

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

It can be written as a sum of positive squares in only one way, i.e., 462017918961 + 821365189264 = 679719^2 + 906292^2 .

It is not a de Polignac number, because 1283383108225 - 21 = 1283383108223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1283383108223) 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 26 ways as a sum of consecutive naturals, for example, 130274550 + ... + 130284400.

Almost surely, 21283383108225 is an apocalyptic number.

1283383108225 is the 1132865-th square number.

1283383108225 is the 566433-rd centered octagonal number.

It is an amenable number.

1283383108225 is a deficient number, since it is larger than the sum of its proper divisors (380380236354).

1283383108225 is an frugal number, since it uses more digits than its factorization.

1283383108225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19758 (or 9879 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 1283383108225 in words is "one trillion, two hundred eighty-three billion, three hundred eighty-three million, one hundred eight thousand, two hundred twenty-five".

Divisors: 1 5 23 25 115 529 575 2645 9851 13225 49255 226573 246275 1132865 5211179 5664325 26055895 97042201 130279475 485211005 2231970623 2426055025 11159853115 51335324329 55799265575 256676621645 1283383108225