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20330244100 = 2252298384463
BaseRepresentation
bin10010111011110001…
…101110100000000100
31221110211221101222201
4102323301232200010
5313114020302400
613201203404244
71316542136455
oct227361564004
957424841881
1020330244100
118692990331
123b34683684
131bbcc3484a
14dac0cd12c
157dec5106a
hex4bbc6e804

20330244100 has 72 divisors (see below), whose sum is σ = 46188293760. Its totient is φ = 7756990080.

The previous prime is 20330244061. The next prime is 20330244197. The reversal of 20330244100 is 144203302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198469 + ... + 282931.

It is an arithmetic number, because the mean of its divisors is an integer number (641504080).

Almost surely, 220330244100 is an apocalyptic number.

20330244100 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 20330244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23094146880).

20330244100 is an abundant number, since it is smaller than the sum of its proper divisors (25858049660).

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

20330244100 is a wasteful number, since it uses less digits than its factorization.

20330244100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84589 (or 84582 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 20330244100 its reverse (144203302), we get a palindrome (20474447402).

The spelling of 20330244100 in words is "twenty billion, three hundred thirty million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 83 100 116 145 166 290 332 415 580 725 830 1450 1660 2075 2407 2900 4150 4814 8300 9628 12035 24070 48140 60175 84463 120350 168926 240700 337852 422315 844630 1689260 2111575 2449427 4223150 4898854 7010429 8446300 9797708 12247135 14020858 24494270 28041716 35052145 48988540 61235675 70104290 122471350 140208580 175260725 203302441 244942700 350521450 406604882 701042900 813209764 1016512205 2033024410 4066048820 5082561025 10165122050 20330244100