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10111331504 = 243136755547
BaseRepresentation
bin10010110101010111…
…01010110010110000
3222002200020212020102
421122223222302300
5131202000102004
64351200531532
7505365620411
oct113253526260
928080225212
1010111331504
11431964601a
121b62320ba8
13c51a9a8c1
146bcc63808
153e2a5011e
hex25aaeacb0

10111331504 has 40 divisors (see below), whose sum is σ = 20278130688. Its totient is φ = 4879160640.

The previous prime is 10111331497. The next prime is 10111331509. The reversal of 10111331504 is 40513311101.

10111331504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10111331509) 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 7 ways as a sum of consecutive naturals, for example, 154259 + ... + 209805.

Almost surely, 210111331504 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 10111331504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10139065344).

10111331504 is an abundant number, since it is smaller than the sum of its proper divisors (10166799184).

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

10111331504 is a wasteful number, since it uses less digits than its factorization.

10111331504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55953 (or 55947 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 10111331504 its reverse (40513311101), we get a palindrome (50624642605).

The spelling of 10111331504 in words is "ten billion, one hundred eleven million, three hundred thirty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 31 62 124 248 367 496 734 1468 2936 5872 11377 22754 45508 55547 91016 111094 182032 222188 444376 888752 1721957 3443914 6887828 13775656 20385749 27551312 40771498 81542996 163085992 326171984 631958219 1263916438 2527832876 5055665752 10111331504