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21220120143240 = 2335863748927361
BaseRepresentation
bin1001101001100101100011…
…01110010010010110001000
32210010121211122202210102120
410310302301232102112020
510240132301224040430
6113044215535131240
74320050234100444
oct464626156222610
983117748683376
1021220120143240
116841447682587
122468727373b20
13bac083120535
145350b89c3824
1526beb6120610
hex134cb1b92588

21220120143240 has 128 divisors (see below), whose sum is σ = 63744966835200. Its totient is φ = 5651180421120.

The previous prime is 21220120143221. The next prime is 21220120143263. The reversal of 21220120143240 is 4234102102212.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21220120143240.

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, 775547160 + ... + 775574520.

It is an arithmetic number, because the mean of its divisors is an integer number (498007553400).

Almost surely, 221220120143240 is an apocalyptic number.

21220120143240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21220120143240 is an abundant number, since it is smaller than the sum of its proper divisors (42524846691960).

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

21220120143240 is a wasteful number, since it uses less digits than its factorization.

21220120143240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35727 (or 35723 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 21220120143240 its reverse (4234102102212), we get a palindrome (25454222245452).

The spelling of 21220120143240 in words is "twenty-one trillion, two hundred twenty billion, one hundred twenty million, one hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 863 1726 2589 3452 4315 5178 6904 7489 8630 10356 12945 14978 17260 20712 22467 25890 27361 29956 34520 37445 44934 51780 54722 59912 74890 82083 89868 103560 109444 112335 136805 149780 164166 179736 218888 224670 273610 299560 328332 410415 449340 547220 656664 820830 898680 1094440 1641660 3283320 6463007 12926014 19389021 23612543 25852028 32315035 38778042 47225086 51704056 64630070 70837629 77556084 94450172 96945105 118062715 129260140 141675258 155112168 188900344 193890210 204906529 236125430 258520280 283350516 354188145 387780420 409813058 472250860 566701032 614719587 708376290 775560840 819626116 944501720 1024532645 1229439174 1416752580 1639252232 2049065290 2458878348 2833505160 3073597935 4098130580 4917756696 6147195870 8196261160 12294391740 24588783480 176834334527 353668669054 530503003581 707337338108 884171672635 1061006007162 1414674676216 1768343345270 2122012014324 2652515017905 3536686690540 4244024028648 5305030035810 7073373381080 10610060071620 21220120143240