Search a number
-
+
230330315341245 = 35719353509642563
BaseRepresentation
bin110100010111101111110100…
…101000000111110110111101
31010012112100210200220202001010
4310113233310220013312331
5220142212441211404440
62133512141444505433
766341546635051440
oct6427576450076675
91105470720822033
10230330315341245
11674325a1347229
12219bb6846ab279
139b6a095031672
1440c40923a5657
151b96647b90580
hexd17bf4a07dbd

230330315341245 has 128 divisors (see below), whose sum is σ = 445472657510400. Its totient is φ = 99273916735488.

The previous prime is 230330315341199. The next prime is 230330315341307. The reversal of 230330315341245 is 542143513033032.

It is not a de Polignac number, because 230330315341245 - 27 = 230330315341117 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 358134334 + ... + 358776896.

It is an arithmetic number, because the mean of its divisors is an integer number (3480255136800).

Almost surely, 2230330315341245 is an apocalyptic number.

It is an amenable number.

230330315341245 is a deficient number, since it is larger than the sum of its proper divisors (215142342169155).

230330315341245 is a wasteful number, since it uses less digits than its factorization.

230330315341245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643459.

The product of its (nonzero) digits is 388800, while the sum is 39.

Adding to 230330315341245 its reverse (542143513033032), we get a palindrome (772473828374277).

The spelling of 230330315341245 in words is "two hundred thirty trillion, three hundred thirty billion, three hundred fifteen million, three hundred forty-one thousand, two hundred forty-five".

Divisors: 1 3 5 7 15 19 21 35 57 95 105 133 285 353 399 509 665 1059 1527 1765 1995 2471 2545 3563 5295 6707 7413 7635 9671 10689 12355 17815 20121 29013 33535 37065 46949 48355 53445 67697 100605 140847 145065 179677 203091 234745 338485 539031 642563 704235 898385 1015455 1257739 1927689 2695155 3212815 3413863 3773217 4497941 6288695 9638445 10241589 12208697 13493823 17069315 18866085 22489705 23897041 36626091 51207945 61043485 67469115 71691123 85460879 119485205 183130455 226824739 256382637 327064567 358455615 427304395 680474217 981193701 1134123695 1281913185 1587773173 1635322835 2289451969 3402371085 4309670041 4763319519 4905968505 6214226773 6868355907 7938865865 11447259845 12929010123 18642680319 21548350205 23816597595 30167690287 31071133865 34341779535 43499587411 64645050615 90503070861 93213401595 115453792151 130498762233 150838451435 217497937055 346361376453 452515354305 577268960755 652493811165 808176545057 1731806882265 2193622050869 2424529635171 4040882725285 6580866152607 10968110254345 12122648175855 15355354356083 32904330763035 46066063068249 76776771780415 230330315341245