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20001031200 = 2532522777921
BaseRepresentation
bin10010101000001001…
…111000010000100000
31220121220110122210100
4102220021320100200
5311430230444300
613104403302400
71305433650213
oct225011702040
956556418710
1020001031200
118534073857
123a6237aa00
131b69979107
14d7a4b377a
157c0dc1700
hex4a8278420

20001031200 has 108 divisors (see below), whose sum is σ = 70528661658. Its totient is φ = 5333606400.

The previous prime is 20001031159. The next prime is 20001031201. The reversal of 20001031200 is 213010002.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 19219940496 + 781090704 = 138636^2 + 27948^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20001031201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1381761 + ... + 1396160.

Almost surely, 220001031200 is an apocalyptic number.

20001031200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001031200 is an abundant number, since it is smaller than the sum of its proper divisors (50527630458).

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

20001031200 is a wasteful number, since it uses less digits than its factorization.

20001031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777947 (or 2777931 counting only the distinct ones).

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

Adding to 20001031200 its reverse (213010002), we get a palindrome (20214041202).

The spelling of 20001031200 in words is "twenty billion, one million, thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 7200 2777921 5555842 8333763 11111684 13889605 16667526 22223368 25001289 27779210 33335052 41668815 44446736 50002578 55558420 66670104 69448025 83337630 88893472 100005156 111116840 125006445 133340208 138896050 166675260 200010312 208344075 222233680 250012890 266680416 277792100 333350520 400020624 416688150 444467360 500025780 555584200 625032225 666701040 800041248 833376300 1000051560 1111168400 1250064450 1333402080 1666752600 2000103120 2222336800 2500128900 3333505200 4000206240 5000257800 6667010400 10000515600 20001031200