Search a number
-
+
10111000008 = 2332352335023
BaseRepresentation
bin10010110101010100…
…11001110111001000
3222002122122000111210
421122222121313020
5131201404000013
64351145453120
7505363040064
oct113252316710
928078560453
1010111000008
114319439a5a
121b621a11a0
13c519b2a55
146bcbb8aa4
153e29d6cc3
hex25aa99dc8

10111000008 has 64 divisors (see below), whose sum is σ = 26427709440. Its totient is φ = 3217541184.

The previous prime is 10111000007. The next prime is 10111000013. The reversal of 10111000008 is 80000011101.

It is a happy number.

10111000008 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 10110999957 and 10111000002.

It is not an unprimeable number, because it can be changed into a prime (10111000001) 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 15 ways as a sum of consecutive naturals, for example, 271185 + ... + 306207.

It is an arithmetic number, because the mean of its divisors is an integer number (412932960).

Almost surely, 210111000008 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 10111000008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13213854720).

10111000008 is an abundant number, since it is smaller than the sum of its proper divisors (16316709432).

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

10111000008 is a wasteful number, since it uses less digits than its factorization.

10111000008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35578 (or 35574 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10111000008 its reverse (80000011101), we get a palindrome (90111011109).

The spelling of 10111000008 in words is "ten billion, one hundred eleven million, eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 523 552 1046 1569 2092 3138 4184 6276 12029 12552 24058 35023 36087 48116 70046 72174 96232 105069 140092 144348 210138 280184 288696 420276 805529 840552 1611058 2416587 3222116 4833174 6444232 9666348 18317029 19332696 36634058 54951087 73268116 109902174 146536232 219804348 421291667 439608696 842583334 1263875001 1685166668 2527750002 3370333336 5055500004 10111000008