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220110112120101 = 3723257899342211
BaseRepresentation
bin110010000011000001100001…
…000010110101110100100101
31001212100022200011110211110120
4302003001201002311310211
5212322241002200320401
62100045104540312153
764235300525041560
oct6203014102656445
91055308604424416
10220110112120101
11641521a103aa35
122082a993242659
1395a83aa067b68
143c4d559ccd4d7
151a6a880cb8836
hexc830610b5d25

220110112120101 has 48 divisors (see below), whose sum is σ = 350629867660800. Its totient is φ = 120306203249760.

The previous prime is 220110112120043. The next prime is 220110112120111. The reversal of 220110112120101 is 101021211011022.

It is a happy number.

It is not a de Polignac number, because 220110112120101 - 29 = 220110112119589 is a prime.

It is a super-2 number, since 2×2201101121201012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220110112120111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 643028886 + ... + 643371096.

It is an arithmetic number, because the mean of its divisors is an integer number (7304788909600).

Almost surely, 2220110112120101 is an apocalyptic number.

220110112120101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220110112120101 is a deficient number, since it is larger than the sum of its proper divisors (130519755540699).

220110112120101 is a wasteful number, since it uses less digits than its factorization.

220110112120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400166 (or 400143 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 220110112120101 its reverse (101021211011022), we get a palindrome (321131323131123).

The spelling of 220110112120101 in words is "two hundred twenty trillion, one hundred ten billion, one hundred twelve million, one hundred twenty thousand, one hundred one".

Divisors: 1 3 7 21 23 69 161 483 529 1587 3703 11109 57899 173697 342211 405293 1026633 1215879 1331677 2395477 3995031 7186431 7870853 9321739 23612559 27965217 30628571 55095971 91885713 165287913 181029619 214399997 543088857 643199991 1267207333 3801621999 19813674689 59441024067 138695722823 416087168469 455714517847 1367143553541 3190001624929 9570004874787 10481433910481 31444301731443 73370037373367 220110112120101