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20220110022112 = 2571113977878269
BaseRepresentation
bin1001001100011110111000…
…11110011010010111100000
32122121000122020022011100221
410212033130132122113200
510122241241131201422
6111000553523452424
74154566114235650
oct446173436322740
978530566264327
1020220110022112
116496333a74520
122326961b27114
13b38995a1cc80
144dc9310a4360
15250e88a5a3c7
hex1263dc79a5e0

20220110022112 has 384 divisors, whose sum is σ = 54075136066560. Its totient is φ = 7186984796160.

The previous prime is 20220110022089. The next prime is 20220110022197. The reversal of 20220110022112 is 21122001102202.

It is a happy number.

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

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 63 ways as a sum of consecutive naturals, for example, 2445286714 + ... + 2445294982.

It is an arithmetic number, because the mean of its divisors is an integer number (140820666840).

Almost surely, 220220110022112 is an apocalyptic number.

20220110022112 is a gapful number since it is divisible by the number (22) 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 20220110022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27037568033280).

20220110022112 is an abundant number, since it is smaller than the sum of its proper divisors (33855026044448).

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

20220110022112 is a wasteful number, since it uses less digits than its factorization.

20220110022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9194 (or 9186 counting only the distinct ones).

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

Adding to 20220110022112 its reverse (21122001102202), we get a palindrome (41342111124314).

The spelling of 20220110022112 in words is "twenty trillion, two hundred twenty billion, one hundred ten million, twenty-two thousand, one hundred twelve".