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220332233121 = 371113312366797
BaseRepresentation
bin1100110100110011010…
…0110001000110100001
3210001201022222010220120
43031030310301012201
512102220022424441
6245115204230453
721630016036410
oct3151464610641
9701638863816
10220332233121
118549588a950
123685099b429
1317a1479c150
14a94256b477
155ae8469966
hex334cd311a1

220332233121 has 64 divisors (see below), whose sum is σ = 407164993536. Its totient is φ = 102245587200.

The previous prime is 220332233113. The next prime is 220332233179. The reversal of 220332233121 is 121332233022.

It is not a de Polignac number, because 220332233121 - 23 = 220332233113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220332233091 and 220332233100.

It is not an unprimeable number, because it can be changed into a prime (220332233221) 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 63 ways as a sum of consecutive naturals, for example, 1090306 + ... + 1276491.

It is an arithmetic number, because the mean of its divisors is an integer number (6361953024).

Almost surely, 2220332233121 is an apocalyptic number.

220332233121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220332233121 is a deficient number, since it is larger than the sum of its proper divisors (186832760415).

220332233121 is a wasteful number, since it uses less digits than its factorization.

220332233121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366862.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 220332233121 its reverse (121332233022), we get a palindrome (341664466143).

Subtracting from 220332233121 its reverse (121332233022), we obtain a palindrome (99000000099).

The spelling of 220332233121 in words is "two hundred twenty billion, three hundred thirty-two million, two hundred thirty-three thousand, one hundred twenty-one".

Divisors: 1 3 7 11 13 21 31 33 39 77 91 93 143 217 231 273 341 403 429 651 1001 1023 1209 2387 2821 3003 4433 7161 8463 13299 31031 93093 2366797 7100391 16567579 26034767 30768361 49702737 73370707 78104301 92305083 182243369 215378527 220112121 338451971 513594949 546730107 646135581 807077777 953819191 1015355913 1540784847 2369163797 2421233331 2861457573 5649544439 6676734337 7107491391 10492011101 16948633317 20030203011 31476033303 73444077707 220332233121