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10024442103 = 313337762721
BaseRepresentation
bin10010101011000000…
…01101100011110111
3221212121202102101110
421111200031203313
5131012224121403
64334414330103
7503262231504
oct112540154367
927777672343
1010024442103
1142845997a5
121b391b9933
13c39a97760
146b14c64ab
153da0da103
hex25580d8f7

10024442103 has 16 divisors (see below), whose sum is σ = 14436802016. Its totient is φ = 6150574080.

The previous prime is 10024442063. The next prime is 10024442147. The reversal of 10024442103 is 30124442001.

10024442103 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10024442103 - 26 = 10024442039 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10024442103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024442803) 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, 368218 + ... + 394503.

It is an arithmetic number, because the mean of its divisors is an integer number (902300126).

Almost surely, 210024442103 is an apocalyptic number.

10024442103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10024442103 is a deficient number, since it is larger than the sum of its proper divisors (4412359913).

10024442103 is a wasteful number, since it uses less digits than its factorization.

10024442103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763074.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10024442103 its reverse (30124442001), we get a palindrome (40148884104).

The spelling of 10024442103 in words is "ten billion, twenty-four million, four hundred forty-two thousand, one hundred three".

Divisors: 1 3 13 39 337 1011 4381 13143 762721 2288163 9915373 29746119 257036977 771110931 3341480701 10024442103