Search a number
-
+
12322443132 = 22321720134711
BaseRepresentation
bin10110111100111100…
…11000111101111100
31011210202211222011200
423132132120331330
5200214021140012
65354424415500
7614235016116
oct133636307574
934722758150
1012322443132
1152537749aa
12247a917590
131214bbca8c
1484c7943b6
154c1c143dc
hex2de798f7c

12322443132 has 36 divisors (see below), whose sum is σ = 32980658256. Its totient is φ = 3865864320.

The previous prime is 12322443121. The next prime is 12322443151. The reversal of 12322443132 is 23134422321.

12322443132 is a `hidden beast` number, since 1 + 2 + 3 + 224 + 431 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 12322443096 and 12322443105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10066744 + ... + 10067967.

It is an arithmetic number, because the mean of its divisors is an integer number (916129396).

Almost surely, 212322443132 is an apocalyptic number.

12322443132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12322443132 is an abundant number, since it is smaller than the sum of its proper divisors (20658215124).

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

12322443132 is a wasteful number, since it uses less digits than its factorization.

12322443132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20134738 (or 20134733 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 12322443132 its reverse (23134422321), we get a palindrome (35456865453).

The spelling of 12322443132 in words is "twelve billion, three hundred twenty-two million, four hundred forty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 20134711 40269422 60404133 80538844 120808266 181212399 241616532 342290087 362424798 684580174 724849596 1026870261 1369160348 2053740522 3080610783 4107481044 6161221566 12322443132