Search a number
-
+
2201302101200 = 245231337352631
BaseRepresentation
bin100000000010000111110…
…101000110110011010000
321210102221112021010111212
4200002013311012303100
5242031231314214300
64403133023355252
7315016214063336
oct40020765066320
97712845233455
102201302101200
11779626714984
122b6763752b28
1312c774575a17
147878787bb56
153c3da909935
hex20087d46cd0

2201302101200 has 120 divisors (see below), whose sum is σ = 5460951476736. Its totient is φ = 851848128000.

The previous prime is 2201302101179. The next prime is 2201302101247. The reversal of 2201302101200 is 21012031022.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41798885 + ... + 41851515.

Almost surely, 22201302101200 is an apocalyptic number.

2201302101200 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 2201302101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730475738368).

2201302101200 is an abundant number, since it is smaller than the sum of its proper divisors (3259649375536).

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

2201302101200 is a wasteful number, since it uses less digits than its factorization.

2201302101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56053 (or 56042 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2201302101200 its reverse (21012031022), we get a palindrome (2222314132222).

The spelling of 2201302101200 in words is "two trillion, two hundred one billion, three hundred two million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 1240 1550 2480 3100 3373 6200 6746 12400 13492 16865 26984 33730 52631 53968 67460 84325 104563 105262 134920 168650 209126 210524 263155 269840 337300 418252 421048 522815 526310 674600 836504 842096 1045630 1052620 1315775 1349200 1631561 1673008 2091260 2105240 2614075 2631550 3263122 4182520 4210480 5228150 5263100 6526244 8157805 8365040 10456300 10526200 13052488 16315610 20912600 21052400 26104976 32631220 40789025 41825200 65262440 81578050 130524880 163156100 177524363 326312200 355048726 652624400 710097452 887621815 1420194904 1775243630 2840389808 3550487260 4438109075 5503255253 7100974520 8876218150 11006510506 14201949040 17752436300 22013021012 27516276265 35504872600 44026042024 55032552530 71009745200 88052084048 110065105060 137581381325 220130210120 275162762650 440260420240 550325525300 1100651050600 2201302101200