Search a number
-
+
21222022100220 = 22325117900122779
BaseRepresentation
bin1001101001101001000110…
…00101101011010011111100
32210010210202012122012220200
410310310203011223103330
510240200200124201340
6113045132400443500
74320145330340514
oct464644305532374
983123665565820
1021222022100220
116842233244a57
122468b78319590
13bac2c718aa76
1453521943a844
1526c0780b8330
hex134d2316b4fc

21222022100220 has 36 divisors (see below), whose sum is σ = 64373467037880. Its totient is φ = 5659205893344.

The previous prime is 21222022100189. The next prime is 21222022100221. The reversal of 21222022100220 is 2200122022212.

21222022100220 is a `hidden beast` number, since 2 + 1 + 2 + 220 + 221 + 0 + 0 + 220 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 21222022100193 and 21222022100202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222022100221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58950061210 + ... + 58950061569.

Almost surely, 221222022100220 is an apocalyptic number.

21222022100220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222022100220 is an abundant number, since it is smaller than the sum of its proper divisors (43151444937660).

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

21222022100220 is a wasteful number, since it uses less digits than its factorization.

21222022100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117900122794 (or 117900122789 counting only the distinct ones).

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

Adding to 21222022100220 its reverse (2200122022212), we get a palindrome (23422144122432).

The spelling of 21222022100220 in words is "twenty-one trillion, two hundred twenty-two billion, twenty-two million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 117900122779 235800245558 353700368337 471600491116 589500613895 707400736674 1061101105011 1179001227790 1414801473348 1768501841685 2122202210022 2358002455580 3537003683370 4244404420044 5305505525055 7074007366740 10611011050110 21222022100220