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21022120200 = 23352711313767
BaseRepresentation
bin10011100101000001…
…000001100100001000
32000021001211100120110
4103211001001210020
5321023130321300
613354000554320
71342643034114
oct234501014410
960231740513
1021022120200
118a08491064
1240a83229a0
131ca038b2a3
141035d50744
1583086b550
hex4e5041908

21022120200 has 192 divisors, whose sum is σ = 66608593920. Its totient is φ = 5483296000.

The previous prime is 21022120183. The next prime is 21022120211. The reversal of 21022120200 is 202122012.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5578717 + ... + 5582483.

It is an arithmetic number, because the mean of its divisors is an integer number (346919760).

Almost surely, 221022120200 is an apocalyptic number.

21022120200 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 21022120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33304296960).

21022120200 is an abundant number, since it is smaller than the sum of its proper divisors (45586473720).

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

21022120200 is a wasteful number, since it uses less digits than its factorization.

21022120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3988 (or 3979 counting only the distinct ones).

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

Adding to 21022120200 its reverse (202122012), we get a palindrome (21224242212).

The spelling of 21022120200 in words is "twenty-one billion, twenty-two million, one hundred twenty thousand, two hundred".