Search a number
-
+
13321133232 = 24311199126781
BaseRepresentation
bin11000110100000000…
…00101110010110000
31021101101001200102220
430122000011302300
5204240202230412
610041502041040
7651052523061
oct143200056260
937341050386
1013321133232
115716483620
1226b9279180
131343a8b974
14905280568
1552e73768c
hex31a005cb0

13321133232 has 80 divisors (see below), whose sum is σ = 37730323200. Its totient is φ = 4016390400.

The previous prime is 13321133153. The next prime is 13321133239. The reversal of 13321133232 is 23233112331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13321133239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41682 + ... + 168462.

It is an arithmetic number, because the mean of its divisors is an integer number (471629040).

Almost surely, 213321133232 is an apocalyptic number.

13321133232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13321133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18865161600).

13321133232 is an abundant number, since it is smaller than the sum of its proper divisors (24409189968).

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

13321133232 is a wasteful number, since it uses less digits than its factorization.

13321133232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127002 (or 126996 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

Adding to 13321133232 its reverse (23233112331), we get a palindrome (36554245563).

The spelling of 13321133232 in words is "thirteen billion, three hundred twenty-one million, one hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 199 264 398 528 597 796 1194 1592 2189 2388 3184 4378 4776 6567 8756 9552 13134 17512 26268 35024 52536 105072 126781 253562 380343 507124 760686 1014248 1394591 1521372 2028496 2789182 3042744 4183773 5578364 6085488 8367546 11156728 16735092 22313456 25229419 33470184 50458838 66940368 75688257 100917676 151376514 201835352 277523609 302753028 403670704 555047218 605506056 832570827 1110094436 1211012112 1665141654 2220188872 3330283308 4440377744 6660566616 13321133232