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221002210120120 = 2351113192033513159
BaseRepresentation
bin110010010000000000010110…
…001110101001000110111000
31001222111121100000020201112221
4302100000112032221012320
5212431400011242320440
62102011002544413424
764356611534654362
oct6220002616510670
91058447300221487
10221002210120120
1164466569108230
1220953861017274
13964155a6a4220
143c807c7a3bd32
151a83b94706d4a
hexc900163a91b8

221002210120120 has 128 divisors (see below), whose sum is σ = 614934379584000. Its totient is φ = 70278214740480.

The previous prime is 221002210120033. The next prime is 221002210120201. The reversal of 221002210120120 is 21021012200122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221002210120094 and 221002210120103.

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, 1016647900 + ... + 1016865259.

It is an arithmetic number, because the mean of its divisors is an integer number (4804174840500).

Almost surely, 2221002210120120 is an apocalyptic number.

221002210120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221002210120120 is an abundant number, since it is smaller than the sum of its proper divisors (393932169463880).

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

221002210120120 is a wasteful number, since it uses less digits than its factorization.

221002210120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033513213 (or 2033513209 counting only the distinct ones).

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

Adding to 221002210120120 its reverse (21021012200122), we get a palindrome (242023222320242).

The spelling of 221002210120120 in words is "two hundred twenty-one trillion, two billion, two hundred ten million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 19 20 22 26 38 40 44 52 55 65 76 88 95 104 110 130 143 152 190 209 220 247 260 286 380 418 440 494 520 572 715 760 836 988 1045 1144 1235 1430 1672 1976 2090 2470 2717 2860 4180 4940 5434 5720 8360 9880 10868 13585 21736 27170 54340 108680 2033513159 4067026318 8134052636 10167565795 16268105272 20335131590 22368644749 26435671067 38636750021 40670263180 44737289498 52871342134 77273500042 81340526360 89474578996 105742684268 111843223745 132178355335 154547000084 178949157992 193183750105 211485368536 223686447490 264356710670 290792381737 309094000168 386367500210 425004250231 447372894980 502277750273 528713421340 581584763474 772735000420 850008500462 894745789960 1004555500546 1057426842680 1163169526948 1453961908685 1545470000840 1700017000924 2009111001092 2125021251155 2326339053896 2511388751365 2907923817370 3400034001848 4018222002184 4250042502310 5022777502730 5525055253003 5815847634740 8500085004620 10045555005460 11050110506006 11631695269480 17000170009240 20091110010920 22100221012012 27625276265015 44200442024024 55250552530030 110501105060060 221002210120120