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10204442314 = 211242167117
BaseRepresentation
bin10011000000011101…
…10110111011001010
3222100011110101020221
421200032312323022
5131344314123224
64404324340254
7510606220453
oct114016667312
928304411227
1010204442314
114367161600
121b8954468a
13c6816b761
146cb38012a
153eace36e4
hex2603b6eca

10204442314 has 12 divisors (see below), whose sum is σ = 16824680082. Its totient is φ = 4638382760.

The previous prime is 10204442293. The next prime is 10204442323. The reversal of 10204442314 is 41324440201.

10204442314 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., 8265537225 + 1938905089 = 90915^2 + 44033^2 .

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 5 ways as a sum of consecutive naturals, for example, 21083317 + ... + 21083800.

Almost surely, 210204442314 is an apocalyptic number.

10204442314 is a deficient number, since it is larger than the sum of its proper divisors (6620237768).

10204442314 is a wasteful number, since it uses less digits than its factorization.

10204442314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42167141 (or 42167130 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 10204442314 its reverse (41324440201), we get a palindrome (51528882515).

The spelling of 10204442314 in words is "ten billion, two hundred four million, four hundred forty-two thousand, three hundred fourteen".

Divisors: 1 2 11 22 121 242 42167117 84334234 463838287 927676574 5102221157 10204442314