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10013334432 = 253104305567
BaseRepresentation
bin10010101001101011…
…10101101110100000
3221211211212002112020
421110311311232200
5131001403200212
64333340301440
7503065636563
oct112465655640
927754762466
1010013334432
1142792a2402
121b35541880
13c376a897a
146adc344da
153d9143d8c
hex254d75ba0

10013334432 has 24 divisors (see below), whose sum is σ = 26285003136. Its totient is φ = 3337778112.

The previous prime is 10013334421. The next prime is 10013334433. The reversal of 10013334432 is 23443331001.

10013334432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10013334433) 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 3 ways as a sum of consecutive naturals, for example, 52152688 + ... + 52152879.

It is an arithmetic number, because the mean of its divisors is an integer number (1095208464).

Almost surely, 210013334432 is an apocalyptic number.

10013334432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10013334432 is an abundant number, since it is smaller than the sum of its proper divisors (16271668704).

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

10013334432 is a wasteful number, since it uses less digits than its factorization.

10013334432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104305580 (or 104305572 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10013334432 its reverse (23443331001), we get a palindrome (33456665433).

The spelling of 10013334432 in words is "ten billion, thirteen million, three hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 104305567 208611134 312916701 417222268 625833402 834444536 1251666804 1668889072 2503333608 3337778144 5006667216 10013334432