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221011211212220 = 2251113491157386247
BaseRepresentation
bin110010010000001000101110…
…101111000101010110111100
31001222112110120022101120122102
4302100020232233011112330
5212432021430032242340
62102015052045204232
764360350562664402
oct6220105657052674
91058473508346572
10221011211212220
116446a367a84a20
1220955553560678
139642363447620
143c80ddd259472
151a8401ea4c215
hexc9022ebc55bc

221011211212220 has 96 divisors (see below), whose sum is σ = 546374544016896. Its totient is φ = 74034490118400.

The previous prime is 221011211212219. The next prime is 221011211212289. The reversal of 221011211212220 is 22212112110122.

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

It is a junction number, because it is equal to n+sod(n) for n = 221011211212192 and 221011211212201.

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 31 ways as a sum of consecutive naturals, for example, 77288864 + ... + 80097383.

It is an arithmetic number, because the mean of its divisors is an integer number (5691401500176).

Almost surely, 2221011211212220 is an apocalyptic number.

221011211212220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221011211212220 is an abundant number, since it is smaller than the sum of its proper divisors (325363332804676).

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

221011211212220 is a wasteful number, since it uses less digits than its factorization.

221011211212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157386771 (or 157386769 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 221011211212220 its reverse (22212112110122), we get a palindrome (243223323322342).

The spelling of 221011211212220 in words is "two hundred twenty-one trillion, eleven billion, two hundred eleven million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 491 572 715 982 1430 1964 2455 2860 4910 5401 6383 9820 10802 12766 21604 25532 27005 31915 54010 63830 70213 108020 127660 140426 280852 351065 702130 1404260 157386247 314772494 629544988 786931235 1573862470 1731248717 2046021211 3147724940 3462497434 4092042422 6924994868 8184084844 8656243585 10230106055 17312487170 20460212110 22506233321 34624974340 40920424220 45012466642 77276647277 90024933284 112531166605 154553294554 225062333210 309106589108 386383236385 450124666420 772766472770 850043120047 1004596414601 1545532945540 1700086240094 2009192829202 3400172480188 4018385658404 4250215600235 5022982073005 8500431200470 10045964146010 11050560560611 17000862400940 20091928292020 22101121121222 44202242242444 55252802803055 110505605606110 221011211212220