Search a number
-
+
111113102023 = 721110110192003
BaseRepresentation
bin110011101111011011…
…0110110001011000111
3101121210122220102021221
41213132312312023013
53310024423231043
6123013351221211
711012325532600
oct1473666661307
9347718812257
10111113102023
11431394a4140
121964b677807
13a629cb7361
145540d72da7
152d54bba8ed
hex19dedb62c7

111113102023 has 48 divisors (see below), whose sum is σ = 142611373440. Its totient is φ = 85597512000.

The previous prime is 111113102011. The next prime is 111113102027. The reversal of 111113102023 is 320201311111.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-111113102023 is a prime.

It is a super-2 number, since 2×1111131020232 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111113101988 and 111113102006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111113102027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55472340 + ... + 55474342.

It is an arithmetic number, because the mean of its divisors is an integer number (2971070280).

Almost surely, 2111113102023 is an apocalyptic number.

111113102023 is a deficient number, since it is larger than the sum of its proper divisors (31498271417).

111113102023 is a wasteful number, since it uses less digits than its factorization.

111113102023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148 (or 3141 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 111113102023 its reverse (320201311111), we get a palindrome (431314413134).

The spelling of 111113102023 in words is "one hundred eleven billion, one hundred thirteen million, one hundred two thousand, twenty-three".

Divisors: 1 7 11 49 77 101 539 707 1019 1111 2003 4949 7133 7777 11209 14021 22033 49931 54439 78463 98147 102919 154231 202303 549241 720433 1079617 1132109 1416121 2041057 2225333 5043031 7924763 9912847 14287399 15577331 22451627 55473341 100011793 109041317 157161389 206146757 1100129723 1443027299 2267614327 10101191093 15873300289 111113102023