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220213000042040 = 235397577174713757
BaseRepresentation
bin110010000100100001010101…
…101001000111011000111000
31001212201011020121020210212002
4302010201111221013120320
5212330432211002321130
62100204242225440132
764245602266664555
oct6204412551073070
91055634217223762
10220213000042040
1164191899645585
12208469081a0048
1395b4cc5c79945
143c5451a6dda2c
151a6d3a3808b45
hexc84855a47638

220213000042040 has 128 divisors (see below), whose sum is σ = 497909202776640. Its totient is φ = 87654468059136.

The previous prime is 220213000041997. The next prime is 220213000042099. The reversal of 220213000042040 is 40240000312022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16007334842 + ... + 16007348598.

Almost surely, 2220213000042040 is an apocalyptic number.

220213000042040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220213000042040 is an abundant number, since it is smaller than the sum of its proper divisors (277696202734600).

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

220213000042040 is a wasteful number, since it uses less digits than its factorization.

220213000042040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16489 (or 16485 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 220213000042040 its reverse (40240000312022), we get a palindrome (260453000354062).

The spelling of 220213000042040 in words is "two hundred twenty trillion, two hundred thirteen billion, forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 397 577 794 1154 1588 1747 1985 2308 2885 3176 3494 3970 4616 5770 6988 7940 8735 11540 13757 13976 15880 17470 23080 27514 34940 55028 68785 69880 110056 137570 229069 275140 458138 550280 693559 916276 1008019 1145345 1387118 1832552 2016038 2290690 2774236 3467795 4032076 4581380 5040095 5461529 5548472 6935590 7937789 8064152 9162760 10080190 10923058 13871180 15875578 20160380 21846116 24033479 27307645 27742360 31751156 39688945 40320760 43692232 48066958 54615290 63502312 79377890 96133916 109230580 120167395 158755780 192267832 218461160 240334790 317511560 400183543 480669580 800367086 961339160 1600734172 2000917715 3151302233 3201468344 4001835430 6302604466 8003670860 9541291163 12605208932 13867317383 15756511165 16007341720 19082582326 25210417864 27734634766 31513022330 38165164652 47706455815 55469269532 63026044660 69336586915 76330329304 95412911630 110938539064 126052089320 138673173830 190825823260 277346347660 381651646520 554692695320 5505325001051 11010650002102 22021300004204 27526625005255 44042600008408 55053250010510 110106500021020 220213000042040