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20233221120 = 2103357229103
BaseRepresentation
bin10010110101111111…
…100111010000000000
31221020002101010111000
4102311333213100000
5312414201033440
613143420052000
71314253353600
oct226577472000
957202333430
1020233221120
118643142552
123b08094000
131ba5ac40b8
14d9d274c00
157d6488730
hex4b5fe7400

20233221120 has 1056 divisors, whose sum is σ = 87369235200. Its totient is φ = 4421910528.

The previous prime is 20233221083. The next prime is 20233221137. The reversal of 20233221120 is 2112233202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20233221093 and 20233221102.

It is a congruent number.

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, 196438989 + ... + 196439091.

Almost surely, 220233221120 is an apocalyptic number.

20233221120 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 20233221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43684617600).

20233221120 is an abundant number, since it is smaller than the sum of its proper divisors (67136014080).

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

20233221120 is a wasteful number, since it uses less digits than its factorization.

20233221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20233221120 its reverse (2112233202), we get a palindrome (22345454322).

The spelling of 20233221120 in words is "twenty billion, two hundred thirty-three million, two hundred twenty-one thousand, one hundred twenty".