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10024110401 = 172321114657
BaseRepresentation
bin10010101010111101…
…11100100101000001
3221212121010120101012
421111132330211001
5131012133013101
64334403250305
7503256350444
oct112536744501
927777116335
1010024110401
114284392568
121b39079995
13c399ac796
146b143b65b
153da071bbb
hex2557bc941

10024110401 has 12 divisors (see below), whose sum is σ = 11095305732. Its totient is φ = 9024254976.

The previous prime is 10024110361. The next prime is 10024110403. The reversal of 10024110401 is 10401142001.

10024110401 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 2 ways, for example, as 8413292176 + 1610818225 = 91724^2 + 40135^2 .

It is not a de Polignac number, because 10024110401 - 222 = 10019916097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10024110403) 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 11 ways as a sum of consecutive naturals, for example, 548336 + ... + 566321.

It is an arithmetic number, because the mean of its divisors is an integer number (924608811).

Almost surely, 210024110401 is an apocalyptic number.

It is an amenable number.

10024110401 is a deficient number, since it is larger than the sum of its proper divisors (1071195331).

10024110401 is a wasteful number, since it uses less digits than its factorization.

10024110401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114720 (or 1114697 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10024110401 its reverse (10401142001), we get a palindrome (20425252402).

The spelling of 10024110401 in words is "ten billion, twenty-four million, one hundred ten thousand, four hundred one".

Divisors: 1 17 23 391 529 8993 1114657 18949169 25637111 435830887 589653553 10024110401