Search a number
-
+
2112002200120 = 23583739860819
BaseRepresentation
bin11110101110111101001…
…001000001001000111000
321110220110001202010120011
4132232331021001020320
5234100340030400440
64254123532511304
7305405245332451
oct36567511011070
97426401663504
102112002200120
1174477120053a
122a13a131b534
131242127c8b77
1474315942128
1539e10c6e9ea
hex1ebbd241238

2112002200120 has 64 divisors (see below), whose sum is σ = 4815771408000. Its totient is φ = 833492193408.

The previous prime is 2112002200073. The next prime is 2112002200151. The reversal of 2112002200120 is 210022002112.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2112002200120.

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, 2023071 + ... + 2883889.

It is an arithmetic number, because the mean of its divisors is an integer number (75246428250).

Almost surely, 22112002200120 is an apocalyptic number.

2112002200120 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 2112002200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407885704000).

2112002200120 is an abundant number, since it is smaller than the sum of its proper divisors (2703769207880).

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

2112002200120 is a wasteful number, since it uses less digits than its factorization.

2112002200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861652 (or 861648 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2112002200120 its reverse (210022002112), we get a palindrome (2322024202232).

The spelling of 2112002200120 in words is "two trillion, one hundred twelve billion, two million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 166 332 415 664 739 830 1478 1660 2956 3320 3695 5912 7390 14780 29560 61337 122674 245348 306685 490696 613370 860819 1226740 1721638 2453480 3443276 4304095 6886552 8608190 17216380 34432760 71447977 142895954 285791908 357239885 571583816 636145241 714479770 1272290482 1428959540 2544580964 2857919080 3180726205 5089161928 6361452410 12722904820 25445809640 52800055003 105600110006 211200220012 264000275015 422400440024 528000550030 1056001100060 2112002200120