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220221323130000 = 243547340710771
BaseRepresentation
bin110010000100101001000101…
…101111001011010010010000
31001212201221201122121111010010
4302010221011233023102100
5212331101232210130000
62100212140150234520
764246315453034253
oct6204510557132220
91055657648544103
10220221323130000
116419537a826775
122084844b655a40
1395b5a2141266a
143c54aa9c6b09a
151a6d6de373d50
hexc84a45bcb490

220221323130000 has 100 divisors (see below), whose sum is σ = 710903794003568. Its totient is φ = 58725686160000.

The previous prime is 220221323129993. The next prime is 220221323130007. The reversal of 220221323130000 is 31323122022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (220221323129993) and next prime (220221323130007).

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×2202213231300002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220221323130007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3670325386 + ... + 3670385385.

Almost surely, 2220221323130000 is an apocalyptic number.

220221323130000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220221323130000 is an abundant number, since it is smaller than the sum of its proper divisors (490682470873568).

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

220221323130000 is an equidigital number, since it uses as much as digits as its factorization.

220221323130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7340710802 (or 7340710781 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 220221323130000 its reverse (31323122022), we get a palindrome (220252646252022).

The spelling of 220221323130000 in words is "two hundred twenty trillion, two hundred twenty-one billion, three hundred twenty-three million, one hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 7340710771 14681421542 22022132313 29362843084 36703553855 44044264626 58725686168 73407107710 88088529252 110110661565 117451372336 146814215420 176177058504 183517769275 220221323130 293628430840 352354117008 367035538550 440442646260 550553307825 587256861680 734071077100 880885292520 917588846375 1101106615650 1468142154200 1761770585040 1835177692750 2202213231300 2752766539125 2936284308400 3670355385500 4404426462600 4587944231875 5505533078250 7340710771000 8808852925200 9175888463750 11011066156500 13763832695625 14681421542000 18351776927500 22022132313000 27527665391250 36703553855000 44044264626000 55055330782500 73407107710000 110110661565000 220221323130000