Search a number
-
+
323141331205 = 57211711688789
BaseRepresentation
bin1001011001111001011…
…10010110100100000101
31010220002021102110022001
410230330232112210011
520243243140044310
6404241000105301
732226512665300
oct4547456264405
91126067373261
10323141331205
11115052947a10
1252763465231
132461a272cb4
14118d66ddb37
1586140d993a
hex4b3cb96905

323141331205 has 48 divisors (see below), whose sum is σ = 499017179520. Its totient is φ = 198601468800.

The previous prime is 323141331199. The next prime is 323141331223. The reversal of 323141331205 is 502133141323.

It is not a de Polignac number, because 323141331205 - 25 = 323141331173 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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 653050 + ... + 1035739.

It is an arithmetic number, because the mean of its divisors is an integer number (10396191240).

Almost surely, 2323141331205 is an apocalyptic number.

323141331205 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

323141331205 is a deficient number, since it is larger than the sum of its proper divisors (175875848315).

323141331205 is a wasteful number, since it uses less digits than its factorization.

323141331205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688890 (or 1688883 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 323141331205 its reverse (502133141323), we get a palindrome (825274472528).

The spelling of 323141331205 in words is "three hundred twenty-three billion, one hundred forty-one million, three hundred thirty-one thousand, two hundred five".

Divisors: 1 5 7 11 35 49 55 71 77 245 355 385 497 539 781 2485 2695 3479 3905 5467 17395 27335 38269 191345 1688789 8443945 11821523 18576679 59107615 82750661 92883395 119904019 130036753 413753305 599520095 650183765 839328133 910257271 1318944209 4196640665 4551286355 5875296931 6594721045 9232609463 29376484655 46163047315 64628266241 323141331205