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21342310200 = 233252139197433
BaseRepresentation
bin10011111000000110…
…011100111100111000
32001002101022200200100
4103320012130330320
5322202112411300
613445435435400
71353611433501
oct237006347470
961071280610
1021342310200
1190621a55a2
1241775b5b60
132021807b23
14106669bba8
1584da17700
hex4f819cf38

21342310200 has 288 divisors, whose sum is σ = 72724251600. Its totient is φ = 5608673280.

The previous prime is 21342310193. The next prime is 21342310207. The reversal of 21342310200 is 201324312.

21342310200 is a `hidden beast` number, since 213 + 423 + 10 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21342310193) and next prime (21342310207).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21342310207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49289184 + ... + 49289616.

Almost surely, 221342310200 is an apocalyptic number.

21342310200 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 21342310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36362125800).

21342310200 is an abundant number, since it is smaller than the sum of its proper divisors (51381941400).

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

21342310200 is a wasteful number, since it uses less digits than its factorization.

21342310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 779 counting only the distinct ones).

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

Adding to 21342310200 its reverse (201324312), we get a palindrome (21543634512).

The spelling of 21342310200 in words is "twenty-one billion, three hundred forty-two million, three hundred ten thousand, two hundred".