Search a number
-
+
20221102111100 = 2252111311794191871
BaseRepresentation
bin1001001100100000101111…
…00110111011100101111100
32122121010012101002111121112
410212100113212323211330
510122300304120023400
6111001240203421152
74154632521660452
oct446202746734574
978533171074545
1020221102111100
1164967a2a84680
122326b9a2247b8
13b38ac341a387
144dc9c6b529d2
15250ee5bc7835
hex1264179bb97c

20221102111100 has 288 divisors, whose sum is σ = 48645486489600. Its totient is φ = 7235044960000.

The previous prime is 20221102111069. The next prime is 20221102111121. The reversal of 20221102111100 is 111120112202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10807643165 + ... + 10807645035.

It is an arithmetic number, because the mean of its divisors is an integer number (168907939200).

Almost surely, 220221102111100 is an apocalyptic number.

20221102111100 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 20221102111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24322743244800).

20221102111100 is an abundant number, since it is smaller than the sum of its proper divisors (28424384378500).

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

20221102111100 is a wasteful number, since it uses less digits than its factorization.

20221102111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20221102111100 its reverse (111120112202), we get a palindrome (20332222223302).

The spelling of 20221102111100 in words is "twenty trillion, two hundred twenty-one billion, one hundred two million, one hundred eleven thousand, one hundred".