Search a number
-
+
13322024013330 = 233549340829679
BaseRepresentation
bin1100000111011100011010…
…0000100100111000010010
31202011120110202111100121000
43001313012200210320102
53221232001121411310
644200015304442430
72543325113505324
oct301670640447022
952146422440530
1013322024013330
1142769252841aa
1215b1a92a79416
137583525c6076
14340b0a199614
1518180a6194c0
hexc1dc6824e12

13322024013330 has 32 divisors (see below), whose sum is σ = 35525397369600. Its totient is φ = 3552539736816.

The previous prime is 13322024013323. The next prime is 13322024013367. The reversal of 13322024013330 is 3331042022331.

13322024013330 is a `hidden beast` number, since 1 + 3 + 3 + 220 + 2 + 401 + 3 + 3 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13322024013294 and 13322024013303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24670414570 + ... + 24670415109.

It is an arithmetic number, because the mean of its divisors is an integer number (1110168667800).

Almost surely, 213322024013330 is an apocalyptic number.

13322024013330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13322024013330 is an abundant number, since it is smaller than the sum of its proper divisors (22203373356270).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13322024013330 is a wasteful number, since it uses less digits than its factorization.

13322024013330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49340829695 (or 49340829689 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13322024013330 its reverse (3331042022331), we get a palindrome (16653066035661).

The spelling of 13322024013330 in words is "thirteen trillion, three hundred twenty-two billion, twenty-four million, thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 49340829679 98681659358 148022489037 246704148395 296044978074 444067467111 493408296790 740112445185 888134934222 1332202401333 1480224890370 2220337335555 2664404802666 4440674671110 6661012006665 13322024013330