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10221330012 = 2234120775061
BaseRepresentation
bin10011000010011110…
…10001111001011100
3222101100020100211020
421201033101321130
5131413130030022
64410130324140
7511202604645
oct114117217134
928340210736
1010221330012
114375746583
121b93129650
13c6b80238a
146cd6d86cc
153ec52c35c
hex2613d1e5c

10221330012 has 24 divisors (see below), whose sum is σ = 24431472912. Its totient is φ = 3324009600.

The previous prime is 10221329953. The next prime is 10221330017. The reversal of 10221330012 is 21003312201.

10221330012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10221329973 and 10221330000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221330017) 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 7 ways as a sum of consecutive naturals, for example, 10387039 + ... + 10388022.

It is an arithmetic number, because the mean of its divisors is an integer number (1017978038).

Almost surely, 210221330012 is an apocalyptic number.

10221330012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10221330012 is an abundant number, since it is smaller than the sum of its proper divisors (14210142900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10221330012 is a wasteful number, since it uses less digits than its factorization.

10221330012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20775109 (or 20775107 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10221330012 its reverse (21003312201), we get a palindrome (31224642213).

The spelling of 10221330012 in words is "ten billion, two hundred twenty-one million, three hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 492 20775061 41550122 62325183 83100244 124650366 249300732 851777501 1703555002 2555332503 3407110004 5110665006 10221330012