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321300113000220 = 223252836307422713
BaseRepresentation
bin100100100001110001000001…
…1000110100000011100011100
31120010121222202022101112220100
41021003202003012200130130
5314103140112412001340
63055203122332021100
7124451111215622154
oct11103420306403434
91503558668345810
10321300113000220
119341568156a462
1230052145901790
1310a38617028b03
14594b019255764
152722b474db830
hex12438831a071c

321300113000220 has 72 divisors (see below), whose sum is σ = 978054195723696. Its totient is φ = 85377273829632.

The previous prime is 321300113000203. The next prime is 321300113000263. The reversal of 321300113000220 is 22000311003123.

321300113000220 is a `hidden beast` number, since 3 + 2 + 130 + 0 + 11 + 300 + 0 + 220 = 666.

It is a super-2 number, since 2×3213001130002202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 321300113000193 and 321300113000202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3153660417 + ... + 3153762296.

It is an arithmetic number, because the mean of its divisors is an integer number (13584086051718).

Almost surely, 2321300113000220 is an apocalyptic number.

321300113000220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321300113000220 is an abundant number, since it is smaller than the sum of its proper divisors (656754082723476).

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

321300113000220 is a wasteful number, since it uses less digits than its factorization.

321300113000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6307423011 (or 6307423006 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 321300113000220 its reverse (22000311003123), we get a palindrome (343300424003343).

The spelling of 321300113000220 in words is "three hundred twenty-one trillion, three hundred billion, one hundred thirteen million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 283 566 849 1132 1415 1698 2547 2830 3396 4245 5094 5660 8490 10188 12735 16980 25470 50940 6307422713 12614845426 18922268139 25229690852 31537113565 37844536278 56766804417 63074227130 75689072556 94611340695 113533608834 126148454260 189222681390 227067217668 283834022085 378445362780 567668044170 1135336088340 1785000627779 3570001255558 5355001883337 7140002511116 8925003138895 10710003766674 16065005650011 17850006277790 21420007533348 26775009416685 32130011300022 35700012555580 53550018833370 64260022600044 80325028250055 107100037666740 160650056500110 321300113000220