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232232311233 = 321341677110177
BaseRepresentation
bin1101100001001000011…
…1111101100111000001
3211012102200001202012100
43120102013331213001
512301102432424413
6254404104221013
722530635034606
oct3302207754701
9735380052170
10232232311233
118a5420a374a
123901216a769
1318b900198a0
14b350bb86ad
15609304da73
hex36121fd9c1

232232311233 has 96 divisors (see below), whose sum is σ = 380911894272. Its totient is φ = 135397785600.

The previous prime is 232232311229. The next prime is 232232311273. The reversal of 232232311233 is 332113232232.

232232311233 is a `hidden beast` number, since 2 + 322 + 3 + 2 + 311 + 23 + 3 = 666.

232232311233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 232232311233 - 22 = 232232311229 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 232232311197 and 232232311206.

It is not an unprimeable number, because it can be changed into a prime (232232311273) 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 95 ways as a sum of consecutive naturals, for example, 22814241 + ... + 22824417.

It is an arithmetic number, because the mean of its divisors is an integer number (3967832232).

Almost surely, 2232232311233 is an apocalyptic number.

It is an amenable number.

232232311233 is a deficient number, since it is larger than the sum of its proper divisors (148679583039).

232232311233 is a wasteful number, since it uses less digits than its factorization.

232232311233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10375 (or 10372 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 232232311233 its reverse (332113232232), we get a palindrome (564345543465).

The spelling of 232232311233 in words is "two hundred thirty-two billion, two hundred thirty-two million, three hundred eleven thousand, two hundred thirty-three".

Divisors: 1 3 9 13 39 41 67 71 117 123 201 213 369 533 603 639 871 923 1599 2613 2747 2769 2911 4757 4797 7839 8241 8307 8733 10177 14271 24723 26199 30531 35711 37843 42813 61841 91593 107133 113529 132301 185523 195037 321399 340587 396903 417257 556569 585111 681859 722567 1190709 1251771 1755333 2045577 2167701 2535481 3755313 5424341 6136731 6503103 7606443 8864167 9393371 16273023 22819329 26592501 27956219 28180113 29625247 48411989 48819069 79777503 83868657 84540339 88875741 145235967 251605971 266627223 363430847 385128211 435707901 629355857 1090292541 1155384633 1888067571 1984891549 3270877623 3466153899 5664202713 5954674647 17864023941 25803590137 77410770411 232232311233