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20221330100 = 22521097184333
BaseRepresentation
bin10010110101010010…
…010000001010110100
31221012021000000001212
4102311102100022310
5312403130030400
613142313140552
71314050320106
oct226522201264
957167000055
1020221330100
118637460664
123b040ba758
131ba34bc8aa
14d9b85b576
157d53da335
hex4b54902b4

20221330100 has 36 divisors (see below), whose sum is σ = 43920524844. Its totient is φ = 8081114880.

The previous prime is 20221330097. The next prime is 20221330109. The reversal of 20221330100 is 103312202.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3753767824 + 16467562276 = 61268^2 + 128326^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221330109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17534 + ... + 201866.

It is an arithmetic number, because the mean of its divisors is an integer number (1220014579).

Almost surely, 220221330100 is an apocalyptic number.

20221330100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221330100 is an abundant number, since it is smaller than the sum of its proper divisors (23699194744).

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

20221330100 is a wasteful number, since it uses less digits than its factorization.

20221330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185444 (or 185437 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20221330100 its reverse (103312202), we get a palindrome (20324642302).

The spelling of 20221330100 in words is "twenty billion, two hundred twenty-one million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1097 2194 4388 5485 10970 21940 27425 54850 109700 184333 368666 737332 921665 1843330 3686660 4608325 9216650 18433300 202213301 404426602 808853204 1011066505 2022133010 4044266020 5055332525 10110665050 20221330100