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21200110101120 = 27351923179141157
BaseRepresentation
bin1001101001000000010010…
…00010000010001010000000
32210001201012010100022222110
410310200021002002022000
510234320311141213440
6113031110210335320
74315441330410306
oct464401102021200
983051163308873
1021200110101120
116833a09514795
122464881b8a540
13baa21463ab22
1453413b246276
1526b6e456e080
hex134809082280

21200110101120 has 512 divisors, whose sum is σ = 74639833344000. Its totient is φ = 5094299713536.

The previous prime is 21200110101113. The next prime is 21200110101133. The reversal of 21200110101120 is 2110101100212.

It is a super-2 number, since 2×212001101011202 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21200110101096 and 21200110101105.

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 63 ways as a sum of consecutive naturals, for example, 150117582 + ... + 150258738.

It is an arithmetic number, because the mean of its divisors is an integer number (145780924500).

Almost surely, 221200110101120 is an apocalyptic number.

21200110101120 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 21200110101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37319916672000).

21200110101120 is an abundant number, since it is smaller than the sum of its proper divisors (53439723242880).

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

21200110101120 is a wasteful number, since it uses less digits than its factorization.

21200110101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141400 (or 141388 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21200110101120 its reverse (2110101100212), we get a palindrome (23310211201332).

The spelling of 21200110101120 in words is "twenty-one trillion, two hundred billion, one hundred ten million, one hundred one thousand, one hundred twenty".