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20001021300 = 223252131709489
BaseRepresentation
bin10010101000001001…
…110101110101110100
31220121220110011012200
4102220021311311310
5311430230140200
613104403144500
71305433606311
oct225011656564
956556404180
1020001021300
118534067377
123a62375130
131b69974760
14d7a4add08
157c0dbd800
hex4a8275d74

20001021300 has 108 divisors (see below), whose sum is σ = 67514598060. Its totient is φ = 4923325440.

The previous prime is 20001021241. The next prime is 20001021323. The reversal of 20001021300 is 312010002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7963420644 + 12037600656 = 89238^2 + 109716^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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 35 ways as a sum of consecutive naturals, for example, 843045 + ... + 866444.

Almost surely, 220001021300 is an apocalyptic number.

20001021300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001021300 is an abundant number, since it is smaller than the sum of its proper divisors (47513576760).

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

20001021300 is a wasteful number, since it uses less digits than its factorization.

20001021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709522 (or 1709512 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 20001021300 its reverse (312010002), we get a palindrome (20313031302).

The spelling of 20001021300 in words is "twenty billion, one million, twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 11700 1709489 3418978 5128467 6837956 8547445 10256934 15385401 17094890 20513868 22223357 25642335 30770802 34189780 42737225 44446714 51284670 61541604 66670071 76927005 85474450 88893428 102569340 111116785 128211675 133340142 153854010 170948900 200010213 222233570 256423350 266680284 307708020 333350355 384635025 400020426 444467140 512846700 555583925 666700710 769270050 800040852 1000051065 1111167850 1333401420 1538540100 1666751775 2000102130 2222335700 3333503550 4000204260 5000255325 6667007100 10000510650 20001021300