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20434100300 = 225217107112337
BaseRepresentation
bin10011000001111101…
…111010000001001100
31221202002100211220122
4103001331322001030
5313322112202200
613215353404112
71322242662305
oct230175720114
957662324818
1020434100300
118736575aa9
123b63409638
131c085c8613
14dbbc057ac
157e8e18385
hex4c1f7a04c

20434100300 has 72 divisors (see below), whose sum is σ = 47389560624. Its totient is φ = 7620874240.

The previous prime is 20434100261. The next prime is 20434100303. The reversal of 20434100300 is 300143402.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (20434100303) 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, 125732 + ... + 238068.

It is an arithmetic number, because the mean of its divisors is an integer number (658188342).

Almost surely, 220434100300 is an apocalyptic number.

20434100300 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 20434100300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23694780312).

20434100300 is an abundant number, since it is smaller than the sum of its proper divisors (26955460324).

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

20434100300 is a wasteful number, since it uses less digits than its factorization.

20434100300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112475 (or 112468 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 20434100300 its reverse (300143402), we get a palindrome (20734243702).

The spelling of 20434100300 in words is "twenty billion, four hundred thirty-four million, one hundred thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 107 170 214 340 425 428 535 850 1070 1700 1819 2140 2675 3638 5350 7276 9095 10700 18190 36380 45475 90950 112337 181900 224674 449348 561685 1123370 1909729 2246740 2808425 3819458 5616850 7638916 9548645 11233700 12020059 19097290 24040118 38194580 47743225 48080236 60100295 95486450 120200590 190972900 204341003 240401180 300501475 408682006 601002950 817364012 1021705015 1202005900 2043410030 4086820060 5108525075 10217050150 20434100300