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2200110111100 = 2252112968968969
BaseRepresentation
bin100000000001000000110…
…010000001100101111100
321210022212110022202111101
4200001000302001211330
5242021311142023400
64402414443102444
7314644531245466
oct40010062014574
97708773282441
102200110111100
1177907488a0a0
122b6490511a24
1312c614627335
14786b3435136
153c36ae5256a
hex20040c8197c

2200110111100 has 72 divisors (see below), whose sum is σ = 5387855936400. Its totient is φ = 772452441600.

The previous prime is 2200110111077. The next prime is 2200110111167. The reversal of 2200110111100 is 11110110022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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, 34452585 + ... + 34516384.

It is an arithmetic number, because the mean of its divisors is an integer number (74831332450).

Almost surely, 22200110111100 is an apocalyptic number.

2200110111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200110111100 is an abundant number, since it is smaller than the sum of its proper divisors (3187745825300).

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

2200110111100 is a wasteful number, since it uses less digits than its factorization.

2200110111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68969023 (or 68969016 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2200110111100 its reverse (11110110022), we get a palindrome (2211220221122).

It can be divided in two parts, 22001 and 10111100, that added together give a palindrome (10133101).

The spelling of 2200110111100 in words is "two trillion, two hundred billion, one hundred ten million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 550 580 638 725 1100 1276 1450 1595 2900 3190 6380 7975 15950 31900 68968969 137937938 275875876 344844845 689689690 758658659 1379379380 1517317318 1724224225 2000100101 3034634636 3448448450 3793293295 4000200202 6896896900 7586586590 8000400404 10000500505 15173173180 18966466475 20001001010 22001101111 37932932950 40002002020 44002202222 50002502525 75865865900 88004404444 100005005050 110005505555 200010010100 220011011110 440022022220 550027527775 1100055055550 2200110111100