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20003410300 = 22523116738639
BaseRepresentation
bin10010101000010010…
…111101000101111100
31220122001221112022011
4102220102331011330
5311431333112200
613104530301004
71305463116316
oct225022750574
956561845264
1020003410300
118535449255
123a63127764
131b6a2ccc73
14d7a9327b6
157c11e15ba
hex4a84bd17c

20003410300 has 72 divisors (see below), whose sum is σ = 45077114880. Its totient is φ = 7696689600.

The previous prime is 20003410279. The next prime is 20003410319. The reversal of 20003410300 is 301430002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498381 + ... + 537019.

It is an arithmetic number, because the mean of its divisors is an integer number (626071040).

Almost surely, 220003410300 is an apocalyptic number.

20003410300 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 20003410300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22538557440).

20003410300 is an abundant number, since it is smaller than the sum of its proper divisors (25073704580).

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

20003410300 is a wasteful number, since it uses less digits than its factorization.

20003410300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38851 (or 38844 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 20003410300 its reverse (301430002), we get a palindrome (20304840302).

The spelling of 20003410300 in words is "twenty billion, three million, four hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 167 310 334 620 668 775 835 1550 1670 3100 3340 4175 5177 8350 10354 16700 20708 25885 38639 51770 77278 103540 129425 154556 193195 258850 386390 517700 772780 965975 1197809 1931950 2395618 3863900 4791236 5989045 6452713 11978090 12905426 23956180 25810852 29945225 32263565 59890450 64527130 119780900 129054260 161317825 200034103 322635650 400068206 645271300 800136412 1000170515 2000341030 4000682060 5000852575 10001705150 20003410300