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21001120200 = 23325211667289
BaseRepresentation
bin10011100011110000…
…111010100111001000
32000012121022102222200
4103203300322213020
5321002241321300
613351530520200
71342266401454
oct234360724710
960177272880
1021001120200
1189a7648495
1240a1296060
131c98c17958
141033245664
1582dabe200
hex4e3c3a9c8

21001120200 has 72 divisors (see below), whose sum is σ = 70528768050. Its totient is φ = 5600298240.

The previous prime is 21001120193. The next prime is 21001120243. The reversal of 21001120200 is 202110012.

It can be written as a sum of positive squares in 3 ways, for example, as 16114271364 + 4886848836 = 126942^2 + 69906^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

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 17 ways as a sum of consecutive naturals, for example, 5831845 + ... + 5835444.

Almost surely, 221001120200 is an apocalyptic number.

21001120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21001120200 is an abundant number, since it is smaller than the sum of its proper divisors (49527647850).

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

21001120200 is a wasteful number, since it uses less digits than its factorization.

21001120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11667311 (or 11667299 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21001120200 its reverse (202110012), we get a palindrome (21203230212).

The spelling of 21001120200 in words is "twenty-one billion, one million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 11667289 23334578 35001867 46669156 58336445 70003734 93338312 105005601 116672890 140007468 175009335 210011202 233345780 280014936 291682225 350018670 420022404 466691560 525028005 583364450 700037340 840044808 875046675 1050056010 1166728900 1400074680 1750093350 2100112020 2333457800 2625140025 3500186700 4200224040 5250280050 7000373400 10500560100 21001120200