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21102022201120 = 2557412161212651
BaseRepresentation
bin1001100110001001100101…
…00010011000111100100000
32202201100000012122201211021
410303010302202120330200
510231213420140413440
6112514045110255224
74305366532125340
oct463046242307440
982640005581737
1021102022201120
1167a6354449723
122449868657514
13ba0bb200a603
1452d4b411cd20
15268da313284a
hex133132898f20

21102022201120 has 192 divisors, whose sum is σ = 58392388276992. Its totient is φ = 7055216640000.

The previous prime is 21102022201111. The next prime is 21102022201121. The reversal of 21102022201120 is 2110222020112.

It is a happy number.

It is a super-3 number, since 3×211020222011203 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 21102022201094 and 21102022201103.

It is not an unprimeable number, because it can be changed into a prime (21102022201121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99126795 + ... + 99339445.

It is an arithmetic number, because the mean of its divisors is an integer number (304127022276).

Almost surely, 221102022201120 is an apocalyptic number.

21102022201120 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 21102022201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29196194138496).

21102022201120 is an abundant number, since it is smaller than the sum of its proper divisors (37290366075872).

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

21102022201120 is a wasteful number, since it uses less digits than its factorization.

21102022201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214875 (or 214867 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21102022201120 its reverse (2110222020112), we get a palindrome (23212244221232).

The spelling of 21102022201120 in words is "twenty-one trillion, one hundred two billion, twenty-two million, two hundred one thousand, one hundred twenty".