Search a number
-
+
10110011112 = 233717191789
BaseRepresentation
bin10010110101001101…
…01000011011101000
3222002120202210000000
421122212220123220
5131201130323422
64351112343000
7505351451025
oct113246503350
928076683000
1010110011112
114318923a93
121b619a4a60
13c517278c6
146bc9dc54c
153e288dcac
hex25a9a86e8

10110011112 has 256 divisors, whose sum is σ = 31704480000. Its totient is φ = 3003153408.

The previous prime is 10110011099. The next prime is 10110011113. The reversal of 10110011112 is 21111001101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10110011094 and 10110011103.

It is not an unprimeable number, because it can be changed into a prime (10110011113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5650314 + ... + 5652102.

It is an arithmetic number, because the mean of its divisors is an integer number (123845625).

Almost surely, 210110011112 is an apocalyptic number.

10110011112 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 10110011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15852240000).

10110011112 is an abundant number, since it is smaller than the sum of its proper divisors (21594468888).

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

10110011112 is a wasteful number, since it uses less digits than its factorization.

10110011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10110011112 its reverse (21111001101), we get a palindrome (31221012213).

The spelling of 10110011112 in words is "ten billion, one hundred ten million, eleven thousand, one hundred twelve".