Search a number
-
+
12322321332 = 22319311173779
BaseRepresentation
bin10110111100111011…
…11011001110110100
31011210202121210002120
423132131323032310
5200214003240312
65354422035540
7614234001036
oct133635731664
934722553076
1012322321332
1152536a1442
12247a878bb0
131214b794c9
1484c761c56
154c1bdd28c
hex2de77b3b4

12322321332 has 48 divisors (see below), whose sum is σ = 30362841600. Its totient is φ = 3878724960.

The previous prime is 12322321321. The next prime is 12322321423. The reversal of 12322321332 is 23312322321.

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

It is a congruent number.

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, 15982 + ... + 157797.

It is an arithmetic number, because the mean of its divisors is an integer number (632559200).

Almost surely, 212322321332 is an apocalyptic number.

12322321332 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 12322321332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15181420800).

12322321332 is an abundant number, since it is smaller than the sum of its proper divisors (18040520268).

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

12322321332 is a wasteful number, since it uses less digits than its factorization.

12322321332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174116 (or 174114 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

Adding to 12322321332 its reverse (23312322321), we get a palindrome (35634643653).

The spelling of 12322321332 in words is "twelve billion, three hundred twenty-two million, three hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 311 622 933 1244 1866 3732 5909 11818 17727 23636 35454 70908 173779 347558 521337 695116 1042674 2085348 3301801 6603602 9905403 13207204 19810806 39621612 54045269 108090538 162135807 216181076 324271614 648543228 1026860111 2053720222 3080580333 4107440444 6161160666 12322321332