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10221330314 = 2132983163327
BaseRepresentation
bin10011000010011110…
…10001111110001010
3222101100020101020102
421201033101332022
5131413130032224
64410130325402
7511202605556
oct114117217612
928340211212
1010221330314
114375746828
121b93129862
13c6b802560
146cd6d8866
153ec52c4ae
hex2613d1f8a

10221330314 has 32 divisors (see below), whose sum is σ = 17286635520. Its totient is φ = 4499957952.

The previous prime is 10221330313. The next prime is 10221330347. The reversal of 10221330314 is 41303312201.

10221330314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10221330313) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19082 + ... + 144245.

It is an arithmetic number, because the mean of its divisors is an integer number (540207360).

Almost surely, 210221330314 is an apocalyptic number.

10221330314 is a deficient number, since it is larger than the sum of its proper divisors (7065305206).

10221330314 is a wasteful number, since it uses less digits than its factorization.

10221330314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163454.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10221330314 its reverse (41303312201), we get a palindrome (51524642515).

The spelling of 10221330314 in words is "ten billion, two hundred twenty-one million, three hundred thirty thousand, three hundred fourteen".

Divisors: 1 2 13 26 29 58 83 166 377 754 1079 2158 2407 4814 31291 62582 163327 326654 2123251 4246502 4736483 9472966 13556141 27112282 61574279 123148558 176229833 352459666 393128089 786256178 5110665157 10221330314