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221002020121120 = 25571631210571977
BaseRepresentation
bin110010010000000000001010…
…111001110110101000100000
31001222111120211202201202220221
4302100000022321312220200
5212431344114122333440
62102010532040212424
764356604040002420
oct6220001271665040
91058446752652827
10221002020121120
1164466480936167
122095380946a114
13964152a20c094
143c807aa700480
151a83b82bc5d4a
hexc9000ae76a20

221002020121120 has 96 divisors (see below), whose sum is σ = 600366224481408. Its totient is φ = 75307261483008.

The previous prime is 221002020121093. The next prime is 221002020121123. The reversal of 221002020121120 is 21121020200122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 221002020121094 and 221002020121103.

It is not an unprimeable number, because it can be changed into a prime (221002020121123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605103429 + ... + 605468548.

It is an arithmetic number, because the mean of its divisors is an integer number (6253814838348).

Almost surely, 2221002020121120 is an apocalyptic number.

221002020121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221002020121120 is an abundant number, since it is smaller than the sum of its proper divisors (379364204360288).

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

221002020121120 is a wasteful number, since it uses less digits than its factorization.

221002020121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210572162 (or 1210572154 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221002020121120 its reverse (21121020200122), we get a palindrome (242123040321242).

The spelling of 221002020121120 in words is "two hundred twenty-one trillion, two billion, twenty million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 163 224 280 326 560 652 815 1120 1141 1304 1630 2282 2608 3260 4564 5216 5705 6520 9128 11410 13040 18256 22820 26080 36512 45640 91280 182560 1210571977 2421143954 4842287908 6052859885 8474003839 9684575816 12105719770 16948007678 19369151632 24211439540 33896015356 38738303264 42370019195 48422879080 67792030712 84740038390 96845758160 135584061424 169480076780 193691516320 197323232251 271168122848 338960153560 394646464502 677920307120 789292929004 986616161255 1355840614240 1381262625757 1578585858008 1973232322510 2762525251514 3157171716016 3946464645020 5525050503028 6314343432032 6906313128785 7892929290040 11050101006056 13812626257570 15785858580080 22100202012112 27625252515140 31571717160160 44200404024224 55250505030280 110501010060560 221002020121120