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21110020001100 = 223252431997273149
BaseRepresentation
bin1001100110011000011110…
…01111100100110101001100
32202202002122120221001212100
410303030033033210311030
510231331310110013400
6112521450451035100
74306101655243422
oct463141717446514
982662576831770
1021110020001100
1167a9788a54178
12244b31ab9ba90
13ba1887c60234
1452da323b3112
152691c0346100
hex13330f3e4d4c

21110020001100 has 216 divisors, whose sum is σ = 67741132258800. Its totient is φ = 5495650352640.

The previous prime is 21110020001099. The next prime is 21110020001101. The reversal of 21110020001100 is 110002001112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21110020001099) and next prime (21110020001101).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (21110020001101) by changing a digit.

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, 77147326 + ... + 77420474.

It is an arithmetic number, because the mean of its divisors is an integer number (313616353050).

Almost surely, 221110020001100 is an apocalyptic number.

21110020001100 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 21110020001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33870566129400).

21110020001100 is an abundant number, since it is smaller than the sum of its proper divisors (46631112257700).

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

21110020001100 is a wasteful number, since it uses less digits than its factorization.

21110020001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275209 (or 275199 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 21110020001100 its reverse (110002001112), we get a palindrome (21220022002212).

The spelling of 21110020001100 in words is "twenty-one trillion, one hundred ten billion, twenty million, one thousand, one hundred".