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21121102200 = 23352113786491
BaseRepresentation
bin10011101010111010…
…100111000101111000
32000111222002011100110
4103222322213011320
5321224000232300
613411454304320
71345254256302
oct235272470570
960458064313
1021121102200
118a59347770
1241154b80a0
131cb7a36613
141045158972
158393be550
hex4eaea7178

21121102200 has 192 divisors, whose sum is σ = 73359054720. Its totient is φ = 4981824000.

The previous prime is 21121102159. The next prime is 21121102207. The reversal of 21121102200 is 220112112.

It is a super-2 number, since 2×211211022002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121102207) 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 47 ways as a sum of consecutive naturals, for example, 200955 + ... + 287445.

It is an arithmetic number, because the mean of its divisors is an integer number (382078410).

Almost surely, 221121102200 is an apocalyptic number.

21121102200 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 21121102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36679527360).

21121102200 is an abundant number, since it is smaller than the sum of its proper divisors (52237952520).

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

21121102200 is a wasteful number, since it uses less digits than its factorization.

21121102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86558 (or 86549 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21121102200 its reverse (220112112), we get a palindrome (21341214312).

It can be divided in two parts, 21121 and 102200, that added together give a palindrome (123321).

The spelling of 21121102200 in words is "twenty-one billion, one hundred twenty-one million, one hundred two thousand, two hundred".