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21012200200200 = 233521123391361123
BaseRepresentation
bin1001100011100010010001…
…01110101001100000001000
32202101202011100201022112110
410301301020232221200020
510223230441222401300
6112404512125142320
74266036623534466
oct461611056514010
982352140638473
1021012200200200
116771251253a10
12243437b3ba9a0
13b9559903b541
14528dd2b17836
15266897716550
hex131c48ba9808

21012200200200 has 192 divisors, whose sum is σ = 71089873171200. Its totient is φ = 5091685177600.

The previous prime is 21012200200183. The next prime is 21012200200207. The reversal of 21012200200200 is 200200221012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (21012200200207) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 14756839 + ... + 16117961.

It is an arithmetic number, because the mean of its divisors is an integer number (370259756100).

Almost surely, 221012200200200 is an apocalyptic number.

21012200200200 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 21012200200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35544936585600).

21012200200200 is an abundant number, since it is smaller than the sum of its proper divisors (50077672971000).

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

21012200200200 is a wasteful number, since it uses less digits than its factorization.

21012200200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363492 (or 1363483 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 21012200200200 its reverse (200200221012), we get a palindrome (21212400421212).

The spelling of 21012200200200 in words is "twenty-one trillion, twelve billion, two hundred million, two hundred thousand, two hundred".