Search a number
-
+
20011011111 = 32713140917341
BaseRepresentation
bin10010101000101111…
…111100110000100111
31220122121020200122200
4102220233330300213
5311440304323421
613105401225543
71305614534160
oct225057746047
956577220580
1020011011111
11853976a913
123a657922b3
131b6ba617a0
14d7b950767
157c1be3726
hex4a8bfcc27

20011011111 has 48 divisors (see below), whose sum is σ = 35602432320. Its totient is φ = 10547159040.

The previous prime is 20011011073. The next prime is 20011011113. The reversal of 20011011111 is 11111011002.

It is not a de Polignac number, because 20011011111 - 27 = 20011010983 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 = 20011011093 and 20011011102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011011113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1145301 + ... + 1162641.

It is an arithmetic number, because the mean of its divisors is an integer number (741717340).

Almost surely, 220011011111 is an apocalyptic number.

20011011111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20011011111 is a deficient number, since it is larger than the sum of its proper divisors (15591421209).

20011011111 is a wasteful number, since it uses less digits than its factorization.

20011011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18776 (or 18773 counting only the distinct ones).

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

Adding to 20011011111 its reverse (11111011002), we get a palindrome (31122022113).

The spelling of 20011011111 in words is "twenty billion, eleven million, eleven thousand, one hundred eleven".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 1409 4227 9863 12681 17341 18317 29589 52023 54951 88767 121387 128219 156069 164853 225433 364161 384657 676299 1092483 1153971 1578031 2028897 4734093 14202279 24433469 73300407 171034283 219901221 317635097 513102849 952905291 1539308547 2223445679 2858715873 6670337037 20011011111