Search a number
-
+
20222212121100 = 223352113112189333
BaseRepresentation
bin1001001100100010110011…
…10001010010001000001100
32122121020001201202212002000
410212101121301102020030
510122310042300333400
6111001542255032300
74155002160624303
oct446213161221014
978536051685060
1020222212121100
116497212606610
122327249b0b690
13b38c3c394322
144dca9033943a
1525105d389600
hex126459c5220c

20222212121100 has 288 divisors, whose sum is σ = 71148801185280. Its totient is φ = 4886589024000.

The previous prime is 20222212121077. The next prime is 20222212121191. The reversal of 20222212121100 is 112121222202.

It is a happy number.

20222212121100 is a `hidden beast` number, since 20 + 222 + 212 + 1 + 211 + 0 + 0 = 666.

It is a super-2 number, since 2×202222121211002 (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 an unprimeable number.

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, 8142034 + ... + 10331366.

It is an arithmetic number, because the mean of its divisors is an integer number (247044448560).

Almost surely, 220222212121100 is an apocalyptic number.

20222212121100 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 20222212121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35574400592640).

20222212121100 is an abundant number, since it is smaller than the sum of its proper divisors (50926589064180).

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

20222212121100 is a wasteful number, since it uses less digits than its factorization.

20222212121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189678 (or 2189665 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20222212121100 its reverse (112121222202), we get a palindrome (20334333343302).

The spelling of 20222212121100 in words is "twenty trillion, two hundred twenty-two billion, two hundred twelve million, one hundred twenty-one thousand, one hundred".