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110111000001012 = 22323909778232061
BaseRepresentation
bin11001000010010100110111…
…000010100111100111110100
3112102212111201220122001222200
4121002110313002213213310
5103413024312000013022
61030104143423024500
732123154141124053
oct3102246702474764
9472774656561880
10110111000001012
11320a28a3a0491a
12104242bb13b130
134959565a08b2a
141d29587c7239a
15cae38e4dbbac
hex6425370a79f4

110111000001012 has 36 divisors (see below), whose sum is σ = 278343261566916. Its totient is φ = 36702727413120.

The previous prime is 110111000000999. The next prime is 110111000001029. The reversal of 110111000001012 is 210100000111011.

It can be written as a sum of positive squares in 2 ways, for example, as 15586988257296 + 94524011743716 = 3948036^2 + 9722346^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 110111000000985 and 110111000001003.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 37708539 + ... + 40523522.

Almost surely, 2110111000001012 is an apocalyptic number.

110111000001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110111000001012 is an abundant number, since it is smaller than the sum of its proper divisors (168232261565904).

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

110111000001012 is a wasteful number, since it uses less digits than its factorization.

110111000001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78271168 (or 78271163 counting only the distinct ones).

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

Adding to 110111000001012 its reverse (210100000111011), we get a palindrome (320211000112023).

The spelling of 110111000001012 in words is "one hundred ten trillion, one hundred eleven billion, one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 39097 78194 117291 156388 234582 351873 469164 703746 1407492 78232061 156464122 234696183 312928244 469392366 704088549 938784732 1408177098 2816354196 3058638888917 6117277777834 9175916666751 12234555555668 18351833333502 27527750000253 36703666667004 55055500000506 110111000001012