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20205201025 = 52284292
BaseRepresentation
bin10010110100010100…
…101110011010000001
31221011010122120010201
4102310110232122001
5312340012413100
613140535325201
71313463242422
oct226424563201
957133576121
1020205201025
118629344649
123aba820801
131ba0063369
14d9965d649
157d3ca136a
hex4b452e681

20205201025 has 9 divisors (see below), whose sum is σ = 25055330601. Its totient is φ = 16163592240.

The previous prime is 20205200933. The next prime is 20205201041. The reversal of 20205201025 is 52010250202.

The square root of 20205201025 is 142145.

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 1822179969 + 18383021056 = 42687^2 + 135584^2 .

It is not a de Polignac number, because 20205201025 - 211 = 20205198977 is a prime.

It is a super-2 number, since 2×202052010252 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20205200993 and 20205201011.

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, 696511 + ... + 724939.

Almost surely, 220205201025 is an apocalyptic number.

20205201025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20205201025 is the 142145-th square number.

20205201025 is the 71073-rd centered octagonal number.

It is an amenable number.

20205201025 is a deficient number, since it is larger than the sum of its proper divisors (4850129576).

20205201025 is an frugal number, since it uses more digits than its factorization.

20205201025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56868 (or 28434 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

Multiplying 20205201025 by its product of nonzero digits (400), we get a square (8082080410000 = 28429002).

Adding to 20205201025 its reverse (52010250202), we get a palindrome (72215451227).

The spelling of 20205201025 in words is "twenty billion, two hundred five million, two hundred one thousand, twenty-five".

Divisors: 1 5 25 28429 142145 710725 808208041 4041040205 20205201025