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12770130025 = 529722332
BaseRepresentation
bin10111110010010100…
…01011100001101001
31012221222020211010201
423321022023201221
5202123123130100
65511100112201
7631312212532
oct137112134151
935858224121
1012770130025
115463450774
122584835661
131286889973
1489200d689
154eb19736a
hex2f928b869

12770130025 has 27 divisors (see below), whose sum is σ = 16068854991. Its totient is φ = 10067389440.

The previous prime is 12770129993. The next prime is 12770130041. The reversal of 12770130025 is 52003107721.

The square root of 12770130025 is 113005.

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

12770130025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 11831565529 + 938564496 = 108773^2 + 30636^2 .

It is not a de Polignac number, because 12770130025 - 25 = 12770129993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12770129975 and 12770130002.

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 26 ways as a sum of consecutive naturals, for example, 54807309 + ... + 54807541.

Almost surely, 212770130025 is an apocalyptic number.

12770130025 is the 113005-th square number.

12770130025 is the 56503-rd centered octagonal number.

It is an amenable number.

12770130025 is a deficient number, since it is larger than the sum of its proper divisors (3298724966).

12770130025 is an frugal number, since it uses more digits than its factorization.

12770130025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

Adding to 12770130025 its reverse (52003107721), we get a palindrome (64773237746).

The spelling of 12770130025 in words is "twelve billion, seven hundred seventy million, one hundred thirty thousand, twenty-five".

Divisors: 1 5 25 97 233 485 1165 2425 5825 9409 22601 47045 54289 113005 235225 271445 565025 1357225 2192297 5266033 10961485 26330165 54807425 131650825 510805201 2554026005 12770130025