Search a number
-
+
2122032013220 = 2257219991083211
BaseRepresentation
bin11110111000010010111…
…101101101111110100100
321111212100001121102120102
4132320102331231332210
5234231410143410340
64302503102323232
7306211634334200
oct36702275557644
97455301542512
102122032013220
11748a48828579
122a3320289518
13125150724212
14749c7a25b00
153a2eb56b215
hex1ee12f6dfa4

2122032013220 has 72 divisors (see below), whose sum is σ = 5186419056000. Its totient is φ = 727189202880.

The previous prime is 2122032013139. The next prime is 2122032013243. The reversal of 2122032013220 is 223102302212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2122032013192 and 2122032013201.

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, 1417415 + ... + 2500625.

It is an arithmetic number, because the mean of its divisors is an integer number (72033598000).

Almost surely, 22122032013220 is an apocalyptic number.

2122032013220 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 2122032013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593209528000).

2122032013220 is an abundant number, since it is smaller than the sum of its proper divisors (3064387042780).

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

2122032013220 is a wasteful number, since it uses less digits than its factorization.

2122032013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085233 (or 1085224 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2122032013220 its reverse (223102302212), we get a palindrome (2345134315432).

The spelling of 2122032013220 in words is "two trillion, one hundred twenty-two billion, thirty-two million, thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1999 3998 7996 9995 13993 19990 27986 39980 55972 69965 97951 139930 195902 279860 391804 489755 979510 1083211 1959020 2166422 4332844 5416055 7582477 10832110 15164954 21664220 30329908 37912385 53077339 75824770 106154678 151649540 212309356 265386695 530773390 1061546780 2165338789 4330677578 8661355156 10826693945 15157371523 21653387890 30314743046 43306775780 60629486092 75786857615 106101600661 151573715230 212203201322 303147430460 424406402644 530508003305 1061016006610 2122032013220