Base | Representation |
---|---|
bin | 1001101001100111001110… |
… | …11111010111000110001010 |
3 | 2210010201011112011000221200 |
4 | 10310303213133113012022 |
5 | 10240141123140401302 |
6 | 113044445241245030 |
7 | 4320111466334226 |
oct | 464634737270612 |
9 | 83121145130850 |
10 | 21221022200202 |
11 | 684186a88a300 |
12 | 2468939493776 |
13 | bac197c87256 |
14 | 535162717786 |
15 | 26c01a40681c |
hex | 134ce77d718a |
21221022200202 has 144 divisors (see below), whose sum is σ = 53170659379656. Its totient is φ = 6104206310400.
The previous prime is 21221022200167. The next prime is 21221022200219. The reversal of 21221022200202 is 20200222012212.
21221022200202 is a `hidden beast` number, since 21 + 221 + 0 + 2 + 220 + 0 + 202 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 10787224240881 + 10433797959321 = 3284391^2 + 3230139^2 .
It is a super-2 number, since 2×212210222002022 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92638 + ... + 6515414.
Almost surely, 221221022200202 is an apocalyptic number.
21221022200202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 21221022200202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26585329689828).
21221022200202 is an abundant number, since it is smaller than the sum of its proper divisors (31949637179454).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21221022200202 is a wasteful number, since it uses less digits than its factorization.
21221022200202 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6422885 (or 6422871 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 21221022200202 its reverse (20200222012212), we get a palindrome (41421244212414).
The spelling of 21221022200202 in words is "twenty-one trillion, two hundred twenty-one billion, twenty-two million, two hundred thousand, two hundred two".
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