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21312332200200 = 23352472137353653
BaseRepresentation
bin1001101100010001010011…
…11111010111100100001000
32210110102212002000122020110
410312020221333113210020
510243140124020401300
6113154430015354320
74326523313460606
oct466105177274410
983412762018213
1021312332200200
116877566a08818
122482580b229a0
13bb798a306052
145397455ba876
1526e5b179b550
hex136229fd7908

21312332200200 has 192 divisors, whose sum is σ = 67505701858560. Its totient is φ = 5559748945920.

The previous prime is 21312332200189. The next prime is 21312332200207. The reversal of 21312332200200 is 200223321312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21312332200207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60086574 + ... + 60440226.

It is an arithmetic number, because the mean of its divisors is an integer number (351592197180).

Almost surely, 221312332200200 is an apocalyptic number.

21312332200200 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 21312332200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33752850929280).

21312332200200 is an abundant number, since it is smaller than the sum of its proper divisors (46193369658360).

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

21312332200200 is a wasteful number, since it uses less digits than its factorization.

21312332200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355856 (or 355847 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 21312332200200 its reverse (200223321312), we get a palindrome (21512555521512).

The spelling of 21312332200200 in words is "twenty-one trillion, three hundred twelve billion, three hundred thirty-two million, two hundred thousand, two hundred".