Search a number
-
+
10111333032 = 2335172711129
BaseRepresentation
bin10010110101010111…
…01011001010101000
3222002200020221100000
421122223223022220
5131202000124112
64351200543000
7505365625023
oct113253531250
928080227300
1010111333032
114319647189
121b62321a60
13c51a9b4c8
146bcc641ba
153e2a507dc
hex25aaeb2a8

10111333032 has 192 divisors, whose sum is σ = 30207340800. Its totient is φ = 3157678080.

The previous prime is 10111333019. The next prime is 10111333051. The reversal of 10111333032 is 23033311101.

It is a happy number.

10111333032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10111332996 and 10111333014.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8955444 + ... + 8956572.

It is an arithmetic number, because the mean of its divisors is an integer number (157329900).

Almost surely, 210111333032 is an apocalyptic number.

10111333032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111333032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15103670400).

10111333032 is an abundant number, since it is smaller than the sum of its proper divisors (20096007768).

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

10111333032 is a wasteful number, since it uses less digits than its factorization.

10111333032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10111333032 its reverse (23033311101), we get a palindrome (33144644133).

The spelling of 10111333032 in words is "ten billion, one hundred eleven million, three hundred thirty-three thousand, thirty-two".