Search a number
-
+
233230313135435 = 571111330411762907
BaseRepresentation
bin110101000001111100101001…
…111101110001110101001011
31010120210121012112101121102212
4311001330221331301311023
5221032221140130313220
62144012305434015335
7100061222403432230
oct6501745175616513
91116717175347385
10233230313135435
1168350469510620
12221a971bb7754b
13a01a6a775bb05
14418459bc25787
151be6cc7db10c5
hexd41f29f71d4b

233230313135435 has 64 divisors (see below), whose sum is σ = 352140675554304. Its totient is φ = 144056216371200.

The previous prime is 233230313135371. The next prime is 233230313135453. The reversal of 233230313135435 is 534531313032332.

It is a happy number.

It is not a de Polignac number, because 233230313135435 - 26 = 233230313135371 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233230313135392 and 233230313135401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131417252 + ... + 133180158.

It is an arithmetic number, because the mean of its divisors is an integer number (5502198055536).

Almost surely, 2233230313135435 is an apocalyptic number.

233230313135435 is a deficient number, since it is larger than the sum of its proper divisors (118910362418869).

233230313135435 is a wasteful number, since it uses less digits than its factorization.

233230313135435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766084.

The product of its (nonzero) digits is 874800, while the sum is 41.

Adding to 233230313135435 its reverse (534531313032332), we get a palindrome (767761626167767).

The spelling of 233230313135435 in words is "two hundred thirty-three trillion, two hundred thirty billion, three hundred thirteen million, one hundred thirty-five thousand, four hundred thirty-five".

Divisors: 1 5 7 11 35 55 77 113 385 565 791 1243 3041 3955 6215 8701 15205 21287 33451 43505 106435 167255 234157 343633 1170785 1718165 1762907 2405431 3779963 8814535 12027155 12340349 18899815 19391977 26459741 61701745 96959885 132298705 135743839 199208491 678719195 996042455 1394459437 2191293401 5361000187 6972297185 10956467005 15339053807 26805000935 37527001309 58971002057 76695269035 187635006545 294855010285 412797014399 605793021131 2063985071995 3028965105655 4240551147917 6663723232441 21202755739585 33318616162205 46646062627087 233230313135435