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232104012231 = 37133159464843
BaseRepresentation
bin1101100000101001111…
…0100010100111000111
3211012002201122111001110
43120022132202213013
512300322111342411
6254343242300103
722524516360210
oct3301236424707
9735081574043
10232104012231
118a486733813
1238b971b7633
1318b6c578410
14b33bb3c407
156086b592a6
hex360a7a29c7

232104012231 has 64 divisors (see below), whose sum is σ = 399840215040. Its totient is φ = 116470811520.

The previous prime is 232104012223. The next prime is 232104012269. The reversal of 232104012231 is 132210401232.

232104012231 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 232104012231 - 23 = 232104012223 is a prime.

It is a super-3 number, since 3×2321040122313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 232104012198 and 232104012207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232104012131) 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 63 ways as a sum of consecutive naturals, for example, 266896 + ... + 731738.

It is an arithmetic number, because the mean of its divisors is an integer number (6247503360).

Almost surely, 2232104012231 is an apocalyptic number.

232104012231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

232104012231 is a deficient number, since it is larger than the sum of its proper divisors (167736202809).

232104012231 is a wasteful number, since it uses less digits than its factorization.

232104012231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464956.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 232104012231 its reverse (132210401232), we get a palindrome (364314413463).

The spelling of 232104012231 in words is "two hundred thirty-two billion, one hundred four million, twelve thousand, two hundred thirty-one".

Divisors: 1 3 7 13 21 31 39 59 91 93 177 217 273 403 413 651 767 1209 1239 1829 2301 2821 5369 5487 8463 12803 16107 23777 38409 71331 166439 464843 499317 1394529 3253901 6042959 9761703 14410133 18128877 27425737 42300713 43230399 82277211 100870931 126902139 187331729 191980159 302612793 356534581 561995187 575940477 850197847 1069603743 1311322103 2495742067 2550593541 3933966309 5951384929 7487226201 11052572011 17854154787 33157716033 77368004077 232104012231