Search a number
-
+
221102202202020 = 223251805968018471
BaseRepresentation
bin110010010001011101011110…
…001110001010011110100100
31001222212011102121222210012200
4302101131132032022132210
5212440014302230431040
62102124541030014500
764400051454434136
oct6221353616123644
91058764377883180
10221102202202020
11644a4a10025347
122096b1081a7430
13964ab046708a9
143c855919db056
151a86597dca630
hexc9175e38a7a4

221102202202020 has 72 divisors (see below), whose sum is σ = 670713827958720. Its totient is φ = 58957321500480.

The previous prime is 221102202202019. The next prime is 221102202202033. The reversal of 221102202202020 is 20202202201122.

221102202202020 is a `hidden beast` number, since 2 + 21 + 1 + 0 + 220 + 220 + 202 + 0 = 666.

221102202202020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221102202201984 and 221102202202002.

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, 30758616 + ... + 37259855.

It is an arithmetic number, because the mean of its divisors is an integer number (9315469832760).

Almost surely, 2221102202202020 is an apocalyptic number.

221102202202020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221102202202020 is an abundant number, since it is smaller than the sum of its proper divisors (449611625756700).

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

221102202202020 is a wasteful number, since it uses less digits than its factorization.

221102202202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68036545 (or 68036540 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 221102202202020 its reverse (20202202201122), we get a palindrome (241304404403142).

The spelling of 221102202202020 in words is "two hundred twenty-one trillion, one hundred two billion, two hundred two million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 18059 36118 54177 72236 90295 108354 162531 180590 216708 270885 325062 361180 541770 650124 812655 1083540 1625310 3250620 68018471 136036942 204055413 272073884 340092355 408110826 612166239 680184710 816221652 1020277065 1224332478 1360369420 2040554130 2448664956 3060831195 4081108260 6121662390 12243324780 1228345567789 2456691135578 3685036703367 4913382271156 6141727838945 7370073406734 11055110110101 12283455677890 14740146813468 18425183516835 22110220220202 24566911355780 36850367033670 44220440440404 55275550550505 73700734067340 110551101101010 221102202202020