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21120111302220 = 2232571947120115629
BaseRepresentation
bin1001100110101011010001…
…01110110101011001001100
32202210001200212111021120200
410303111220232311121030
510232012441443132340
6112530240054413500
74306610022010410
oct463255056653114
982701625437520
1021120111302220
116802a97259057
122451276661290
13ba2805836928
1453030c700d40
152695b123b330
hex133568bb564c

21120111302220 has 576 divisors, whose sum is σ = 78780241612800. Its totient is φ = 4472058470400.

The previous prime is 21120111302189. The next prime is 21120111302263. The reversal of 21120111302220 is 2220311102112.

21120111302220 is a `hidden beast` number, since 2 + 11 + 20 + 111 + 302 + 220 = 666.

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 = 21120111302193 and 21120111302202.

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 191 ways as a sum of consecutive naturals, for example, 1351333366 + ... + 1351348994.

It is an arithmetic number, because the mean of its divisors is an integer number (136771252800).

Almost surely, 221120111302220 is an apocalyptic number.

21120111302220 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 21120111302220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39390120806400).

21120111302220 is an abundant number, since it is smaller than the sum of its proper divisors (57660130310580).

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

21120111302220 is a wasteful number, since it uses less digits than its factorization.

21120111302220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16918 (or 16913 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21120111302220 its reverse (2220311102112), we get a palindrome (23340422404332).

The spelling of 21120111302220 in words is "twenty-one trillion, one hundred twenty billion, one hundred eleven million, three hundred two thousand, two hundred twenty".