Search a number
-
+
2200000111100 = 2252112371948889
BaseRepresentation
bin100000000000111010001…
…110011010000111111100
321210022120210100011212022
4200000322032122013330
5242021100012023400
64402355513255312
7314642024254001
oct40007216320774
97708523304768
102200000111100
11779018788500
122b645b704538
1312c5c78c1c8c
14786a299d8a8
153c361474b85
hex2003a39a1fc

2200000111100 has 108 divisors (see below), whose sum is σ = 5248973158800. Its totient is φ = 799768569600.

The previous prime is 2200000111091. The next prime is 2200000111123. The reversal of 2200000111100 is 11110000022.

2200000111100 is a modest number, since divided by 111100 gives 22000 as remainder.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44975456 + ... + 45024344.

Almost surely, 22200000111100 is an apocalyptic number.

2200000111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200000111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624486579400).

2200000111100 is an abundant number, since it is smaller than the sum of its proper divisors (3048973047700).

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

2200000111100 is a wasteful number, since it uses less digits than its factorization.

2200000111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52644 (or 52626 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2200000111100 its reverse (11110000022), we get a palindrome (2211110111122).

The spelling of 2200000111100 in words is "two trillion, two hundred billion, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 3719 6050 7438 12100 14876 18595 37190 40909 48889 74380 81818 92975 97778 163636 185950 195556 204545 244445 371900 409090 449999 488890 537779 818180 899998 977780 1022725 1075558 1222225 1799996 2045450 2151116 2249995 2444450 2688895 4090900 4499990 4888900 5377790 5915569 8999980 10755580 11249975 11831138 13444475 22499950 23662276 26888950 29577845 44999900 53777900 59155690 118311380 147889225 181818191 295778450 363636382 591556900 727272764 909090955 1818181910 2000000101 3636363820 4000000202 4545454775 8000000404 9090909550 10000000505 18181819100 20000001010 22000001111 40000002020 44000002222 50000002525 88000004444 100000005050 110000005555 200000010100 220000011110 440000022220 550000027775 1100000055550 2200000111100