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203319081 = 3274972
BaseRepresentation
bin11000001111001…
…10011100101001
3112011120200100100
430013212130221
5404022202311
632101500013
75016120000
oct1407463451
9464520310
10203319081
11a484a6a9
1258111609
1333179c64
141d007c37
1512cb2a56
hexc1e6729

203319081 has 45 divisors (see below), whose sum is σ = 346178391. Its totient is φ = 114984576.

The previous prime is 203319059. The next prime is 203319121. The reversal of 203319081 is 180913302.

The square root of 203319081 is 14259.

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

203319081 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 only one way, i.e., 91298025 + 112021056 = 9555^2 + 10584^2 .

It is not a de Polignac number, because 203319081 - 27 = 203318953 is a prime.

It is a super-2 number, since 2×2033190812 = 82677297397369122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (203319001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2096025 + ... + 2096121.

Almost surely, 2203319081 is an apocalyptic number.

203319081 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

203319081 is the 14259-th square number.

203319081 is the 7130-th centered octagonal number.

It is an amenable number.

203319081 is a deficient number, since it is larger than the sum of its proper divisors (142859310).

203319081 is an frugal number, since it uses more digits than its factorization.

203319081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The cubic root of 203319081 is about 588.0208325952.

Multiplying 203319081 by its product of nonzero digits (1296), we get a square (263501528976 = 5133242).

The spelling of 203319081 in words is "two hundred three million, three hundred nineteen thousand, eighty-one".

Divisors: 1 3 7 9 21 49 63 97 147 291 343 441 679 873 1029 2037 2401 3087 4753 6111 7203 9409 14259 21609 28227 33271 42777 65863 84681 99813 197589 232897 299439 461041 592767 698691 1383123 2096073 3227287 4149369 9681861 22591009 29045583 67773027 203319081