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20322233100 = 22335213244537
BaseRepresentation
bin10010111011010011…
…001010101100001100
31221110021212101222000
4102323103022230030
5313104442424400
613200315552300
71316414063001
oct227323125414
957407771860
1020322233100
118689409574
123b31a5b690
131bbb38b400
14dab0058a8
157de1bc600
hex4bb4cab0c

20322233100 has 216 divisors, whose sum is σ = 70745940720. Its totient is φ = 5002283520.

The previous prime is 20322233083. The next prime is 20322233101. The reversal of 20322233100 is 133222302.

It is a happy number.

It is a super-2 number, since 2×203222331002 (a number of 21 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 (20322233101) 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 71 ways as a sum of consecutive naturals, for example, 434032 + ... + 478568.

Almost surely, 220322233100 is an apocalyptic number.

20322233100 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 20322233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35372970360).

20322233100 is an abundant number, since it is smaller than the sum of its proper divisors (50423707620).

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

20322233100 is a wasteful number, since it uses less digits than its factorization.

20322233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44586 (or 44560 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20322233100 its reverse (133222302), we get a palindrome (20455455402).

The spelling of 20322233100 in words is "twenty billion, three hundred twenty-two million, two hundred thirty-three thousand, one hundred".