Search a number
-
+
10111014 = 2331131657
BaseRepresentation
bin100110100100…
…100000100110
3201000200201000
4212210200212
510042023024
61000414130
7151641114
oct46444046
921020630
1010111014
115786611
123477346
132130264
1414b2ab4
15d4acc9
hex9a4826

10111014 has 32 divisors (see below), whose sum is σ = 22681440. Its totient is φ = 3338496.

The previous prime is 10111001. The next prime is 10111019. The reversal of 10111014 is 41011101.

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 = 10110987 and 10111005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5274 + ... + 6930.

It is an arithmetic number, because the mean of its divisors is an integer number (708795).

Almost surely, 210111014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11340720).

10111014 is an abundant number, since it is smaller than the sum of its proper divisors (12570426).

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

10111014 is a wasteful number, since it uses less digits than its factorization.

10111014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 10111014 is about 3179.7820680040. The cubic root of 10111014 is about 216.2377782751.

Adding to 10111014 its reverse (41011101), we get a palindrome (51122115).

It can be divided in two parts, 1011101 and 4, that multiplied together give a palindrome (4044404).

The spelling of 10111014 in words is "ten million, one hundred eleven thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 113 226 339 678 1017 1657 2034 3051 3314 4971 6102 9942 14913 29826 44739 89478 187241 374482 561723 1123446 1685169 3370338 5055507 10111014