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1207201020529 = 7417213192
BaseRepresentation
bin10001100100010010110…
…010011011101001110001
311021101222220200212002111
4101210102302123221301
5124234321430124104
62322325215245321
7153134365240000
oct21442262335161
94241886625074
101207201020529
11425a75560429
12175b69219841
1389ab94445ba
1442600a50c37
1521606eb1404
hex11912c9ba71

1207201020529 has 45 divisors (see below), whose sum is σ = 1497167739467. Its totient is φ = 973138108992.

The previous prime is 1207201020511. The next prime is 1207201020541. The reversal of 1207201020529 is 9250201027021.

The square root of 1207201020529 is 1098727.

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., 939862386225 + 267338634304 = 969465^2 + 517048^2 .

It is not a de Polignac number, because 1207201020529 - 211 = 1207201018481 is a prime.

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 1207201020529.

It is not an unprimeable number, because it can be changed into a prime (1207201020229) 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 44 ways as a sum of consecutive naturals, for example, 915238932 + ... + 915240250.

Almost surely, 21207201020529 is an apocalyptic number.

1207201020529 is the 1098727-th square number.

1207201020529 is the 549364-th centered octagonal number.

It is an amenable number.

1207201020529 is a deficient number, since it is larger than the sum of its proper divisors (289966718938).

1207201020529 is an frugal number, since it uses more digits than its factorization.

1207201020529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 1207201020529 in words is "one trillion, two hundred seven billion, two hundred one million, twenty thousand, five hundred twenty-nine".

Divisors: 1 7 17 49 119 289 343 833 1319 2023 2401 5831 9233 14161 22423 40817 64631 99127 156961 381191 452417 693889 1098727 1739761 2668337 3166919 7691089 12178327 18678359 29575937 53837623 85248289 130748513 207031559 502790929 596738023 915239591 1449220913 3519536503 4177166161 10144546391 24636755521 71011824737 172457288647 1207201020529