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221131021344000 = 283532303448139
BaseRepresentation
bin110010010001111000010011…
…111110011101110100000000
31001222221220211002021212220120
4302101320103332131310000
5212441002312431002000
62102150104440140240
764402121565211215
oct6221702376356400
91058856732255816
10221131021344000
1164506159747259
122097480b767680
1396507481b4221
143c86b27299b0c
151a871d2eea6a0
hexc91e13f9dd00

221131021344000 has 144 divisors (see below), whose sum is σ = 734486687712960. Its totient is φ = 58968272332800.

The previous prime is 221131021343957. The next prime is 221131021344019. The reversal of 221131021344000 is 443120131122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1151628070 + ... + 1151820069.

Almost surely, 2221131021344000 is an apocalyptic number.

221131021344000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221131021344000 is an abundant number, since it is smaller than the sum of its proper divisors (513355666368960).

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

221131021344000 is an equidigital number, since it uses as much as digits as its factorization.

221131021344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303448173 (or 2303448149 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 221131021344000 its reverse (443120131122), we get a palindrome (221574141475122).

The spelling of 221131021344000 in words is "two hundred twenty-one trillion, one hundred thirty-one billion, twenty-one million, three hundred forty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 600 640 750 768 800 960 1000 1200 1280 1500 1600 1920 2000 2400 3000 3200 3840 4000 4800 6000 6400 8000 9600 12000 16000 19200 24000 32000 48000 96000 2303448139 4606896278 6910344417 9213792556 11517240695 13820688834 18427585112 23034481390 27641377668 34551722085 36855170224 46068962780 55282755336 57586203475 69103444170 73710340448 92137925560 110565510672 115172406950 138206888340 147420680896 172758610425 184275851120 221131021344 230344813900 276413776680 287931017375 294841361792 345517220850 368551702240 442262042688 460689627800 552827553360 575862034750 589682723584 691034441700 737103404480 863793052125 884524085376 921379255600 1105655106720 1151724069500 1382068883400 1474206808960 1727586104250 1769048170752 1842758511200 2211310213440 2303448139000 2764137766800 2948413617920 3455172208500 3685517022400 4422620426880 4606896278000 5528275533600 6910344417000 7371034044800 8845240853760 9213792556000 11056551067200 13820688834000 14742068089600 18427585112000 22113102134400 27641377668000 36855170224000 44226204268800 55282755336000 73710340448000 110565510672000 221131021344000