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21102112221120 = 2632574361399059
BaseRepresentation
bin1001100110001001101111…
…11001110010011111000000
32202201100020111001020001100
410303010313321302133000
510231214111212033440
6112514102043534400
74305402004233330
oct463046771623700
982640214036040
1021102112221120
1167a63a0244017
12244989282a400
13ba0bc7868698
1452d4c20730c0
15268daaeb5230
hex133137e727c0

21102112221120 has 672 divisors, whose sum is σ = 86272200368640. Its totient is φ = 4633925345280.

The previous prime is 21102112221049. The next prime is 21102112221133. The reversal of 21102112221120 is 2112221120112.

21102112221120 is a `hidden beast` number, since 2 + 110 + 211 + 2 + 221 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 21102112221093 and 21102112221102.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 52680151 + ... + 53079209.

Almost surely, 221102112221120 is an apocalyptic number.

21102112221120 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 21102112221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43136100184320).

21102112221120 is an abundant number, since it is smaller than the sum of its proper divisors (65170088147520).

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

21102112221120 is a wasteful number, since it uses less digits than its factorization.

21102112221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399193 (or 399180 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21102112221120 its reverse (2112221120112), we get a palindrome (23214333341232).

The spelling of 21102112221120 in words is "twenty-one trillion, one hundred two billion, one hundred twelve million, two hundred twenty-one thousand, one hundred twenty".