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232220121323103 = 3437894919176989
BaseRepresentation
bin110100110011001111110101…
…110101110101011001011111
31010110020000201112021110210000
4310303033311311311121133
5220414143302024314403
62141520241225345343
766625231041624504
oct6463176565653137
91113200645243700
10232220121323103
1167aa1000580231
1222065994938253
139c76356b274b4
14414b729da94ab
151bca8a19ed7a3
hexd333f5d7565f

232220121323103 has 80 divisors (see below), whose sum is σ = 360350648856000. Its totient is φ = 148905685006848.

The previous prime is 232220121323063. The next prime is 232220121323117. The reversal of 232220121323103 is 301323121022232.

232220121323103 is a `hidden beast` number, since 2 + 3 + 2 + 220 + 12 + 1 + 323 + 103 = 666.

It is not a de Polignac number, because 232220121323103 - 222 = 232220117128799 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232220121323143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1311971133 + ... + 1312148121.

It is an arithmetic number, because the mean of its divisors is an integer number (4504383110700).

Almost surely, 2232220121323103 is an apocalyptic number.

232220121323103 is a deficient number, since it is larger than the sum of its proper divisors (128130527532897).

232220121323103 is a wasteful number, since it uses less digits than its factorization.

232220121323103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182046 (or 182037 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 232220121323103 its reverse (301323121022232), we get a palindrome (533543242345335).

The spelling of 232220121323103 in words is "two hundred thirty-two trillion, two hundred twenty billion, one hundred twenty-one million, three hundred twenty-three thousand, one hundred three".

Divisors: 1 3 9 27 37 81 89 111 267 333 801 999 2403 2997 3293 4919 7209 9879 14757 29637 44271 88911 132813 176989 182003 266733 398439 437791 530967 546009 1313373 1592901 1638027 3940119 4778703 4914081 6548593 11820357 14336109 14742243 15752021 16198267 19645779 35461071 47256063 48594801 58937337 141768189 145784403 176812011 425304567 437353209 530436033 582824777 870608891 1275913701 1312059627 1748474331 2611826673 5245422993 7835480019 15736268979 23506440057 32212528967 47208806937 70519320171 77484191299 96637586901 232452573897 289912760703 697357721691 869738282109 2092073165073 2609214846327 2866915078063 6276219495219 8600745234189 25802235702567 77406707107701 232220121323103