Base | Representation |
---|---|
bin | 1001101001000000000100… |
… | …11110000111001011010000 |
3 | 2210001200220110012200201101 |
4 | 10310200002132013023100 |
5 | 10234320100001134300 |
6 | 113031051235114144 |
7 | 4315435522633510 |
oct | 464400236071320 |
9 | 83050813180641 |
10 | 21200000021200 |
11 | 6833962369050 |
12 | 2464851142954 |
13 | baa1c78a8290 |
14 | 53412a78d840 |
15 | 26b6d9a77b6a |
hex | 1348027872d0 |
21200000021200 has 960 divisors, whose sum is σ = 73344405657600. Its totient is φ = 5669338521600.
The previous prime is 21200000021131. The next prime is 21200000021273. The reversal of 21200000021200 is 212000000212.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 403176511 + ... + 403229089.
It is an arithmetic number, because the mean of its divisors is an integer number (76400422560).
Almost surely, 221200000021200 is an apocalyptic number.
21200000021200 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 21200000021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36672202828800).
21200000021200 is an abundant number, since it is smaller than the sum of its proper divisors (52144405636400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21200000021200 is a wasteful number, since it uses less digits than its factorization.
21200000021200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 52700 (or 52689 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 10.
Adding to 21200000021200 its reverse (212000000212), we get a palindrome (21412000021412).
21200000021200 divided by its reverse (212000000212) gives a square (100 = 102).
It can be divided in two parts, 212000000 and 21200, that multiplied together give a square (4494400000000 = 21200002).
The spelling of 21200000021200 in words is "twenty-one trillion, two hundred billion, twenty-one thousand, two hundred".
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