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22001300300 = 22527186116889
BaseRepresentation
bin10100011111011000…
…010011001101001100
32002210022022212011002
4110133120103031030
5330024313102200
614035100115432
71406132652440
oct243730231514
962708285132
1022001300300
119370184611
124320235b78
1320c81b8ab5
1410c9ddc820
1588b7d8bd5
hex51f61334c

22001300300 has 72 divisors (see below), whose sum is σ = 54595776480. Its totient is φ = 7538803200.

The previous prime is 22001300297. The next prime is 22001300309. The reversal of 22001300300 is 300310022.

It is a super-6 number, since 6×220013003006 (a number of 63 digits) contains 666666 as substring.

It is not an unprimeable number, because it can be changed into a prime (22001300309) by changing a digit.

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, 1294256 + ... + 1311144.

Almost surely, 222001300300 is an apocalyptic number.

22001300300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22001300300 is an abundant number, since it is smaller than the sum of its proper divisors (32594476180).

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

22001300300 is a wasteful number, since it uses less digits than its factorization.

22001300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18771 (or 18764 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 22001300300 its reverse (300310022), we get a palindrome (22301610322).

The spelling of 22001300300 in words is "twenty-two billion, one million, three hundred thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1861 3722 7444 9305 13027 16889 18610 26054 33778 37220 46525 52108 65135 67556 84445 93050 118223 130270 168890 186100 236446 260540 325675 337780 422225 472892 591115 651350 844450 1182230 1302700 1688900 2364460 2955575 5911150 11822300 31430429 62860858 125721716 157152145 220013003 314304290 440026006 628608580 785760725 880052012 1100065015 1571521450 2200130030 3143042900 4400260060 5500325075 11000650150 22001300300