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20221001100 = 223252292273413
BaseRepresentation
bin10010110101010000…
…111111110110001100
31221012020101021202200
4102311100333312030
5312403034013400
613142302121500
71314044446656
oct226520776614
957166337680
1020221001100
118637256463
123b03b80290
131ba3405c11
14d9b7b36d6
157d5372b00
hex4b543fd8c

20221001100 has 216 divisors, whose sum is σ = 65875314960. Its totient is φ = 5181872640.

The previous prime is 20221001069. The next prime is 20221001111. The reversal of 20221001100 is 110012202.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5922994 + ... + 5926406.

It is an arithmetic number, because the mean of its divisors is an integer number (304978310).

Almost surely, 220221001100 is an apocalyptic number.

20221001100 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 20221001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32937657480).

20221001100 is an abundant number, since it is smaller than the sum of its proper divisors (45654313860).

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

20221001100 is a wasteful number, since it uses less digits than its factorization.

20221001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3689 (or 3679 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20221001100 its reverse (110012202), we get a palindrome (20331013302).

The spelling of 20221001100 in words is "twenty billion, two hundred twenty-one million, one thousand, one hundred".