Search a number
-
+
10110031011 = 332912911917
BaseRepresentation
bin10010110101001101…
…01101010010100011
3222002120210210022000
421122212231102203
5131201131443021
64351113015043
7505351563033
oct113246552243
928076723260
1010110031011
114318937a33
121b619b4483
13c51733992
146bca058c3
153e2894b26
hex25a9ad4a3

10110031011 has 16 divisors (see below), whose sum is σ = 15494301600. Its totient is φ = 6507605664.

The previous prime is 10110031007. The next prime is 10110031027. The reversal of 10110031011 is 11013001101.

10110031011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10110031011 - 22 = 10110031007 is a prime.

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 = 10110030984 and 10110031002.

It is not an unprimeable number, because it can be changed into a prime (10110031031) 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, 6455176 + ... + 6456741.

It is an arithmetic number, because the mean of its divisors is an integer number (968393850).

Almost surely, 210110031011 is an apocalyptic number.

10110031011 is a deficient number, since it is larger than the sum of its proper divisors (5384270589).

10110031011 is a wasteful number, since it uses less digits than its factorization.

10110031011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12911955 (or 12911949 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 10110031011 its reverse (11013001101), we get a palindrome (21123032112).

The spelling of 10110031011 in words is "ten billion, one hundred ten million, thirty-one thousand, eleven".

Divisors: 1 3 9 27 29 87 261 783 12911917 38735751 116207253 348621759 374445593 1123336779 3370010337 10110031011