Search a number
-
+
232205231241231 = 3732193659114199
BaseRepresentation
bin110100110011000001111110…
…010100101011100000001111
31010110011121021210221221102020
4310303001332110223200033
5220413422303144204411
62141505335515301223
766624163045206213
oct6463017624534017
91113147253857366
10232205231241231
1167a9575a504346
1222062b1a14a813
139c74b22cb5471
14414ab165d8943
151bca2ce69c606
hexd3307e52b80f

232205231241231 has 48 divisors (see below), whose sum is σ = 316014294816000. Its totient is φ = 151659972366336.

The previous prime is 232205231241229. The next prime is 232205231241317. The reversal of 232205231241231 is 132142132502232.

232205231241231 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 232205231241231 - 21 = 232205231241229 is a prime.

It is a super-3 number, since 3×2322052312412313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 232205231241192 and 232205231241201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232205231261231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2033281470 + ... + 2033395668.

It is an arithmetic number, because the mean of its divisors is an integer number (6583631142000).

Almost surely, 2232205231241231 is an apocalyptic number.

232205231241231 is a deficient number, since it is larger than the sum of its proper divisors (83809063574769).

232205231241231 is a wasteful number, since it uses less digits than its factorization.

232205231241231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115200 (or 115127 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 232205231241231 its reverse (132142132502232), we get a palindrome (364347363743463).

The spelling of 232205231241231 in words is "two hundred thirty-two trillion, two hundred five billion, two hundred thirty-one million, two hundred forty-one thousand, two hundred thirty-one".

Divisors: 1 3 73 193 219 579 659 1977 5329 14089 15987 42267 48107 114199 127187 144321 342597 381561 1028497 3085491 3511811 8336527 9284651 10535433 22040407 25009581 27853953 66121221 75257141 225771423 608566471 677779523 1608949711 1825699413 2033338569 4826849133 5493771293 14524628213 16481313879 43573884639 117453328903 352359986709 401045304389 1060297859549 1203135913167 3180893578647 77401743747077 232205231241231