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2200000111120 = 245731167758851
BaseRepresentation
bin100000000000111010001…
…110011010001000010000
321210022120210100011220001
4200000322032122020100
5242021100012023440
64402355513255344
7314642024254030
oct40007216321020
97708523304801
102200000111120
11779018788519
122b645b704554
1312c5c78c1ca6
14786a299d8c0
153c361474b9a
hex2003a39a210

2200000111120 has 160 divisors (see below), whose sum is σ = 6070427467776. Its totient is φ = 725582016000.

The previous prime is 2200000111091. The next prime is 2200000111123. The reversal of 2200000111120 is 211110000022.

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

It is a junction number, because it is equal to n+sod(n) for n = 2200000111097 and 2200000111106.

It is not an unprimeable number, because it can be changed into a prime (2200000111123) 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 31 ways as a sum of consecutive naturals, for example, 2519695 + ... + 3278545.

Almost surely, 22200000111120 is an apocalyptic number.

2200000111120 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 2200000111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035213733888).

2200000111120 is an abundant number, since it is smaller than the sum of its proper divisors (3870427356656).

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

2200000111120 is a wasteful number, since it uses less digits than its factorization.

2200000111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759069 (or 759063 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2200000111120 its reverse (211110000022), we get a palindrome (2411110111142).

The spelling of 2200000111120 in words is "two trillion, two hundred billion, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 167 217 248 280 310 334 434 496 560 620 668 835 868 1085 1169 1240 1336 1670 1736 2170 2338 2480 2672 3340 3472 4340 4676 5177 5845 6680 8680 9352 10354 11690 13360 17360 18704 20708 23380 25885 36239 41416 46760 51770 72478 82832 93520 103540 144956 181195 207080 289912 362390 414160 579824 724780 758851 1449560 1517702 2899120 3035404 3794255 5311957 6070808 7588510 10623914 12141616 15177020 21247828 23524381 26559785 30354040 42495656 47048762 53119570 60708080 84991312 94097524 106239140 117621905 126728117 164670667 188195048 212478280 235243810 253456234 329341334 376390096 424956560 470487620 506912468 633640585 658682668 823353335 887096819 940975240 1013824936 1267281170 1317365336 1646706670 1774193638 1881950480 2027649872 2534562340 2634730672 3293413340 3548387276 3928571627 4435484095 5069124680 6586826680 7096774552 7857143254 8870968190 10138249360 13173653360 14193549104 15714286508 17741936380 19642858135 27500001389 31428573016 35483872760 39285716270 55000002778 62857146032 70967745520 78571432540 110000005556 137500006945 157142865080 220000011112 275000013890 314285730160 440000022224 550000027780 1100000055560 2200000111120