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20221012300 = 22524318125981
BaseRepresentation
bin10010110101010001…
…000010100101001100
31221012020101212010111
4102311101002211030
5312403034343200
613142302245404
71314044524426
oct226521024514
957166355114
1020221012300
118637263915
123b03b86864
131ba340b048
14d9b7b7816
157d53760ba
hex4b544294c

20221012300 has 72 divisors (see below), whose sum is σ = 45149856752. Its totient is φ = 7856352000.

The previous prime is 20221012291. The next prime is 20221012307. The reversal of 20221012300 is 321012202.

It is not an unprimeable number, because it can be changed into a prime (20221012307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 765310 + ... + 791290.

Almost surely, 220221012300 is an apocalyptic number.

20221012300 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 20221012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22574928376).

20221012300 is an abundant number, since it is smaller than the sum of its proper divisors (24928844452).

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

20221012300 is a wasteful number, since it uses less digits than its factorization.

20221012300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26219 (or 26212 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 20221012300 its reverse (321012202), we get a palindrome (20542024502).

The spelling of 20221012300 in words is "twenty billion, two hundred twenty-one million, twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 181 215 362 430 724 860 905 1075 1810 2150 3620 4300 4525 7783 9050 15566 18100 25981 31132 38915 51962 77830 103924 129905 155660 194575 259810 389150 519620 649525 778300 1117183 1299050 2234366 2598100 4468732 4702561 5585915 9405122 11171830 18810244 22343660 23512805 27929575 47025610 55859150 94051220 111718300 117564025 202210123 235128050 404420246 470256100 808840492 1011050615 2022101230 4044202460 5055253075 10110506150 20221012300