Search a number
-
+
323212230213201 = 32747109156443841
BaseRepresentation
bin100100101111101011011011…
…0001010110011111001010001
31120101101210021001021020221200
41021133112312022303321101
5314331002121413310301
63103225352043541413
7125036212241021250
oct11137266612637121
91511353231236850
10323212230213201
1193a9259a91464a
1230300841b2a869
1310b46a232a4754
1459b57ac094797
152757759e54c86
hex125f5b62b3e51

323212230213201 has 24 divisors (see below), whose sum is σ = 544908967659264. Its totient is φ = 180763070999040.

The previous prime is 323212230213181. The next prime is 323212230213241. The reversal of 323212230213201 is 102312032212323.

323212230213201 is a `hidden beast` number, since 3 + 2 + 3 + 2 + 12 + 230 + 213 + 201 = 666.

It is not a de Polignac number, because 323212230213201 - 231 = 323210082729553 is a prime.

It is a super-2 number, since 2×3232122302132012 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (323212230213241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54578218960 + ... + 54578224881.

It is an arithmetic number, because the mean of its divisors is an integer number (22704540319136).

Almost surely, 2323212230213201 is an apocalyptic number.

It is an amenable number.

323212230213201 is a deficient number, since it is larger than the sum of its proper divisors (221696737446063).

323212230213201 is a wasteful number, since it uses less digits than its factorization.

323212230213201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109156443901 (or 109156443898 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 323212230213201 its reverse (102312032212323), we get a palindrome (425524262425524).

The spelling of 323212230213201 in words is "three hundred twenty-three trillion, two hundred twelve billion, two hundred thirty million, two hundred thirteen thousand, two hundred one".

Divisors: 1 3 7 9 21 47 63 141 329 423 987 2961 109156443841 327469331523 764095106887 982407994569 2292285320661 5130352860527 6876855961983 15391058581581 35912470023689 46173175744743 107737410071067 323212230213201