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21100322320200 = 233252174903140639
BaseRepresentation
bin1001100110000110011010…
…01101110110111101001000
32202201011121202000211120200
410303003031031312331020
510231201430003221300
6112513204304052200
74305306441310314
oct463031515667510
982634552024520
1021100322320200
1167a5661957a62
122449473304060
13ba09a0aa3306
1452d392468b44
15268d03ca4200
hex1330cd376f48

21100322320200 has 288 divisors, whose sum is σ = 75046100313600. Its totient is φ = 5294649415680.

The previous prime is 21100322320193. The next prime is 21100322320219. The reversal of 21100322320200 is 202322300112.

21100322320200 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 0 + 322 + 320 + 20 + 0 = 666.

It is a super-2 number, since 2×211003223202002 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 149961481 + ... + 150102119.

It is an arithmetic number, because the mean of its divisors is an integer number (260576737200).

Almost surely, 221100322320200 is an apocalyptic number.

21100322320200 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 21100322320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37523050156800).

21100322320200 is an abundant number, since it is smaller than the sum of its proper divisors (53945777993400).

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

21100322320200 is a wasteful number, since it uses less digits than its factorization.

21100322320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145581 (or 145569 counting only the distinct ones).

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

Adding to 21100322320200 its reverse (202322300112), we get a palindrome (21302644620312).

The spelling of 21100322320200 in words is "twenty-one trillion, one hundred billion, three hundred twenty-two million, three hundred twenty thousand, two hundred".