Search a number
-
+
2220010101200 = 2452257108719867
BaseRepresentation
bin100000010011100010111…
…010011101100111010000
321212020020022122222221202
4200103202322131213100
5242333040041214300
64415505241010332
7316250630336363
oct40234272354720
97766208588852
102220010101200
11786556910201
122ba304a839a8
13131466386ac8
14796403260da
153cb33015ad5
hex204e2e9d9d0

2220010101200 has 120 divisors (see below), whose sum is σ = 5359523016192. Its totient is φ = 883690536960.

The previous prime is 2220010101187. The next prime is 2220010101203. The reversal of 2220010101200 is 21010100222.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220010101203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111733667 + ... + 111753533.

Almost surely, 22220010101200 is an apocalyptic number.

2220010101200 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 2220010101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679761508096).

2220010101200 is an abundant number, since it is smaller than the sum of its proper divisors (3139512914992).

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

2220010101200 is a wasteful number, since it uses less digits than its factorization.

2220010101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21229 (or 21218 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2220010101200 its reverse (21010100222), we get a palindrome (2241020201422).

The spelling of 2220010101200 in words is "two trillion, two hundred twenty billion, ten million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 257 400 514 1028 1087 1285 2056 2174 2570 4112 4348 5140 5435 6425 8696 10280 10870 12850 17392 19867 20560 21740 25700 27175 39734 43480 51400 54350 79468 86960 99335 102800 108700 158936 198670 217400 279359 317872 397340 434800 496675 558718 794680 993350 1117436 1396795 1589360 1986700 2234872 2793590 3973400 4469744 5105819 5587180 6983975 7946800 10211638 11174360 13967950 20423276 21595429 22348720 25529095 27935900 40846552 43190858 51058190 55871800 81693104 86381716 102116380 107977145 111743600 127645475 172763432 204232760 215954290 255290950 345526864 408465520 431908580 510581900 539885725 863817160 1021163800 1079771450 1727634320 2042327600 2159542900 4319085800 5550025253 8638171600 11100050506 22200101012 27750126265 44400202024 55500252530 88800404048 111000505060 138750631325 222001010120 277501262650 444002020240 555002525300 1110005050600 2220010101200