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21320231020200 = 23325274759610199
BaseRepresentation
bin1001101100100000000001…
…10010111110011010101000
32210111012020120001021021100
410312100000302332122220
510243302313120121300
6113202213502441400
74330223125362420
oct466200062763250
983435216037240
1021320231020200
11687a94a659132
122484006293260
13bb86488b1538
14539c94667480
1526e8c4e5c700
hex136400cbe6a8

21320231020200 has 576 divisors, whose sum is σ = 84986703360000. Its totient is φ = 4688663800320.

The previous prime is 21320231020097. The next prime is 21320231020201. The reversal of 21320231020200 is 202013202312.

21320231020200 is a `hidden beast` number, since 2 + 132 + 0 + 2 + 310 + 20 + 200 = 666.

It is a super-3 number, since 3×213202310202003 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21320231020201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34634701 + ... + 35244899.

It is an arithmetic number, because the mean of its divisors is an integer number (147546360000).

Almost surely, 221320231020200 is an apocalyptic number.

21320231020200 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 21320231020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42493351680000).

21320231020200 is an abundant number, since it is smaller than the sum of its proper divisors (63666472339800).

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

21320231020200 is a wasteful number, since it uses less digits than its factorization.

21320231020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610334 (or 610322 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21320231020200 its reverse (202013202312), we get a palindrome (21522244222512).

The spelling of 21320231020200 in words is "twenty-one trillion, three hundred twenty billion, two hundred thirty-one million, twenty thousand, two hundred".