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20223311021100 = 223352112349728979
BaseRepresentation
bin1001001100100100110110…
…10001010000010000101100
32122121022220022112202111000
410212102123101100100230
510122314320110133400
6111002243312200300
74155041333256345
oct446223321202054
978538808482430
1020223311021100
11649772693a430
1223274b5b39090
13b39085c4b405
144dcb5626d0cc
152510c4aa4600
hex12649b45042c

20223311021100 has 288 divisors, whose sum is σ = 70930047686400. Its totient is φ = 4902243033600.

The previous prime is 20223311021087. The next prime is 20223311021107. The reversal of 20223311021100 is 112011332202.

20223311021100 is a `hidden beast` number, since 20 + 223 + 311 + 0 + 2 + 110 + 0 = 666.

It is a super-2 number, since 2×202233110211002 (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 not an unprimeable number, because it can be changed into a prime (20223311021107) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 697846411 + ... + 697875389.

It is an arithmetic number, because the mean of its divisors is an integer number (246284887800).

Almost surely, 220223311021100 is an apocalyptic number.

20223311021100 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 20223311021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35465023843200).

20223311021100 is an abundant number, since it is smaller than the sum of its proper divisors (50706736665300).

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

20223311021100 is a wasteful number, since it uses less digits than its factorization.

20223311021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52510 (or 52497 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20223311021100 its reverse (112011332202), we get a palindrome (20335322353302).

It can be divided in two parts, 2022331102 and 1100, that added together give a palindrome (2022332202).

The spelling of 20223311021100 in words is "twenty trillion, two hundred twenty-three billion, three hundred eleven million, twenty-one thousand, one hundred".