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20110321113120 = 2532573795264041
BaseRepresentation
bin1001001001010010011001…
…00010111101100000100000
32122012112020212002201102100
410210221030202331200200
510113441414201104440
6110434315354250400
74143631335015120
oct444511442754040
978175225081370
1020110321113120
116453814aa2197
122309621a26a00
13b2b51a1916b4
144d74b7d4cc80
1524d1b025d230
hex124a4c8bd820

20110321113120 has 288 divisors, whose sum is σ = 78637207259520. Its totient is φ = 4584515604480.

The previous prime is 20110321113119. The next prime is 20110321113151. The reversal of 20110321113120 is 2131112301102.

20110321113120 is a `hidden beast` number, since 2 + 0 + 110 + 321 + 113 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×201103211131202 (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 a junction number, because it is equal to n+sod(n) for n = 20110321113093 and 20110321113102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1188300 + ... + 6452340.

It is an arithmetic number, because the mean of its divisors is an integer number (273045858540).

Almost surely, 220110321113120 is an apocalyptic number.

20110321113120 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 20110321113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39318603629760).

20110321113120 is an abundant number, since it is smaller than the sum of its proper divisors (58526886146400).

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

20110321113120 is a wasteful number, since it uses less digits than its factorization.

20110321113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5264448 (or 5264437 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 20110321113120 its reverse (2131112301102), we get a palindrome (22241433414222).

The spelling of 20110321113120 in words is "twenty trillion, one hundred ten billion, three hundred twenty-one million, one hundred thirteen thousand, one hundred twenty".