Search a number
-
+
10111122032 = 2411247111121
BaseRepresentation
bin10010110101010101…
…10111101001110000
3222002122212012220012
421122222313221300
5131201421401112
64351152234052
7505364055614
oct113252675160
928078765805
1010111122032
114319512700
121b6223b928
13c51a2645b
146bcc0b344
153e2a0d022
hex25aab7a70

10111122032 has 60 divisors (see below), whose sum is σ = 21991488288. Its totient is φ = 4498137600.

The previous prime is 10111122031. The next prime is 10111122059. The reversal of 10111122032 is 23022111101.

It is a junction number, because it is equal to n+sod(n) for n = 10111121998 and 10111122016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111122031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35432 + ... + 146552.

Almost surely, 210111122032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111122032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10995744144).

10111122032 is an abundant number, since it is smaller than the sum of its proper divisors (11880366256).

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

10111122032 is a wasteful number, since it uses less digits than its factorization.

10111122032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111198 (or 111181 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10111122032 its reverse (23022111101), we get a palindrome (33133233133).

The spelling of 10111122032 in words is "ten billion, one hundred eleven million, one hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 121 176 188 242 376 484 517 752 968 1034 1936 2068 4136 5687 8272 11374 22748 45496 90992 111121 222242 444484 888968 1222331 1777936 2444662 4889324 5222687 9778648 10445374 13445641 19557296 20890748 26891282 41781496 53782564 57449557 83562992 107565128 114899114 215130256 229798228 459596456 631945127 919192912 1263890254 2527780508 5055561016 10111122032