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206211351025 = 52908212
BaseRepresentation
bin1100000000001100100…
…1111000000111110001
3201201021020001000021101
43000003021320013301
511334310101213100
6234422052524401
720620052364061
oct3000311700761
9651236030241
10206211351025
117a4a9a28159
1233b6b920701
13165a4117a04
149da2dc93a1
15556d90986a
hex30032781f1

206211351025 has 9 divisors (see below), whose sum is σ = 255704890753. Its totient is φ = 164967264400.

The previous prime is 206211351023. The next prime is 206211351043. The reversal of 206211351025 is 520153112602.

The square root of 206211351025 is 454105.

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 908209 + 206210442816 = 953^2 + 454104^2 .

It is not a de Polignac number, because 206211351025 - 21 = 206211351023 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 206211350984 and 206211351002.

It is not an unprimeable number, because it can be changed into a prime (206211351023) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2225115 + ... + 2315935.

Almost surely, 2206211351025 is an apocalyptic number.

206211351025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

206211351025 is the 454105-th square number.

206211351025 is the 227053-rd centered octagonal number.

It is an amenable number.

206211351025 is a deficient number, since it is larger than the sum of its proper divisors (49493539728).

206211351025 is an frugal number, since it uses more digits than its factorization.

206211351025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181652 (or 90826 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Multiplying 206211351025 by its product of nonzero digits (3600), we get a square (742360863690000 = 272463002).

Adding to 206211351025 its reverse (520153112602), we get a palindrome (726364463627).

The spelling of 206211351025 in words is "two hundred six billion, two hundred eleven million, three hundred fifty-one thousand, twenty-five".

Divisors: 1 5 25 90821 454105 2270525 8248454041 41242270205 206211351025