Search a number
-
+
2200102001120 = 25561266384649
BaseRepresentation
bin100000000001000000010…
…011000101100111100000
321210022211220001201200202
4200001000103011213200
5242021302103013440
64402413553204332
7314644402310312
oct40010023054740
97708756051622
102200102001120
1177907024aa31
122b64898606a8
1312c612a47b2a
14786b23237b2
153c36a39e615
hex200404c59e0

2200102001120 has 96 divisors (see below), whose sum is σ = 5284996113600. Its totient is φ = 865278627840.

The previous prime is 2200102001117. The next prime is 2200102001137. The reversal of 2200102001120 is 211002010022.

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 15 ways as a sum of consecutive naturals, for example, 25948556 + ... + 26033204.

It is an arithmetic number, because the mean of its divisors is an integer number (55052042850).

Almost surely, 22200102001120 is an apocalyptic number.

2200102001120 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 2200102001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642498056800).

2200102001120 is an abundant number, since it is smaller than the sum of its proper divisors (3084894112480).

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

2200102001120 is a wasteful number, since it uses less digits than its factorization.

2200102001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87388 (or 87380 counting only the distinct ones).

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

Adding to 2200102001120 its reverse (211002010022), we get a palindrome (2411104011142).

The spelling of 2200102001120 in words is "two trillion, two hundred billion, one hundred two million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2440 2663 4880 5326 9760 10652 13315 21304 26630 42608 53260 84649 85216 106520 162443 169298 213040 324886 338596 423245 426080 649772 677192 812215 846490 1299544 1354384 1624430 1692980 2599088 2708768 3248860 3385960 5163589 5198176 6497720 6771920 10327178 12995440 13543840 20654356 25817945 25990880 41308712 51635890 82617424 103271780 165234848 206543560 225420287 413087120 450840574 826174240 901681148 1127101435 1803362296 2254202870 3606724592 4508405740 7213449184 9016811480 13750637507 18033622960 27501275014 36067245920 55002550028 68753187535 110005100056 137506375070 220010200112 275012750140 440020400224 550025500280 1100051000560 2200102001120