Search a number
-
+
10113244032 = 27326336573
BaseRepresentation
bin10010110101100101…
…11101101110000000
3222002210212000201210
421122302331232000
5131202442302112
64351305530120
7505421104323
oct113262755600
928083760653
1010113244032
11431a731a21
121b62aa3940
13c522ba288
146bd2007ba
153e2ccbb3c
hex25acbdb80

10113244032 has 32 divisors (see below), whose sum is σ = 26863305480. Its totient is φ = 3371081216.

The previous prime is 10113244027. The next prime is 10113244033. The reversal of 10113244032 is 23044231101.

10113244032 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 (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113244033) 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, 13167903 + ... + 13168670.

Almost surely, 210113244032 is an apocalyptic number.

10113244032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10113244032 is an abundant number, since it is smaller than the sum of its proper divisors (16750061448).

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

10113244032 is an equidigital number, since it uses as much as digits as its factorization.

10113244032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26336590 (or 26336578 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10113244032 its reverse (23044231101), we get a palindrome (33157475133).

The spelling of 10113244032 in words is "ten billion, one hundred thirteen million, two hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 26336573 52673146 79009719 105346292 158019438 210692584 316038876 421385168 632077752 842770336 1264155504 1685540672 2528311008 3371081344 5056622016 10113244032