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20311110 = 23251271777
BaseRepresentation
bin100110101111…
…0110001000110
31102012220121100
41031132301012
520144423420
62003200530
7334433031
oct115366106
942186540
1020311110
1110513046
126976146
134291c11
1429aa018
151bb3190
hex135ec46

20311110 has 48 divisors (see below), whose sum is σ = 53254656. Its totient is φ = 5370624.

The previous prime is 20311103. The next prime is 20311111. The reversal of 20311110 is 1111302.

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 = 20311092 and 20311101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20311111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10542 + ... + 12318.

It is an arithmetic number, because the mean of its divisors is an integer number (1109472).

Almost surely, 220311110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20311110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26627328).

20311110 is an abundant number, since it is smaller than the sum of its proper divisors (32943546).

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

20311110 is a wasteful number, since it uses less digits than its factorization.

20311110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 20311110 is about 4506.7848850372. The cubic root of 20311110 is about 272.8419968854.

Adding to 20311110 its reverse (1111302), we get a palindrome (21422412).

The spelling of 20311110 in words is "twenty million, three hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 127 254 381 635 762 1143 1270 1777 1905 2286 3554 3810 5331 5715 8885 10662 11430 15993 17770 26655 31986 53310 79965 159930 225679 451358 677037 1128395 1354074 2031111 2256790 3385185 4062222 6770370 10155555 20311110