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10014044321 = 612573971609
BaseRepresentation
bin10010101001110001…
…00011000010100001
3221211220012011022102
421110320203002201
5131002043404241
64333403420145
7503104654331
oct112470430241
927756164272
1010014044321
114279737796
121b35824655
13c37896b18
146add7b0c1
153d923439b
hex254e230a1

10014044321 has 16 divisors (see below), whose sum is σ = 10249916880. Its totient is φ = 9780756480.

The previous prime is 10014044281. The next prime is 10014044351. The reversal of 10014044321 is 12344041001.

It can be written as a sum of positive squares in 8 ways, for example, as 1762320400 + 8251723921 = 41980^2 + 90839^2 .

It is a cyclic number.

It is not a de Polignac number, because 10014044321 - 222 = 10009850017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10014044293 and 10014044302.

It is not an unprimeable number, because it can be changed into a prime (10014044351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6222965 + ... + 6224573.

It is an arithmetic number, because the mean of its divisors is an integer number (640619805).

Almost surely, 210014044321 is an apocalyptic number.

It is an amenable number.

10014044321 is a deficient number, since it is larger than the sum of its proper divisors (235872559).

10014044321 is a wasteful number, since it uses less digits than its factorization.

10014044321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10014044321 its reverse (12344041001), we get a palindrome (22358085322).

The spelling of 10014044321 in words is "ten billion, fourteen million, forty-four thousand, three hundred twenty-one".

Divisors: 1 61 257 397 1609 15677 24217 98149 102029 413513 638773 6223769 25224293 38965153 164164661 10014044321