Search a number
-
+
12331200432 = 243298858621
BaseRepresentation
bin10110111101111111…
…10010111110110000
31011211101022212221010
423132333302332300
5200223241403212
65355340230520
7614402321445
oct133677627660
934741285833
1012331200432
115258706441
12248183b440
131216967b05
1484d9d39cc
154c289403c
hex2deff2fb0

12331200432 has 40 divisors (see below), whose sum is σ = 32954073840. Its totient is φ = 3968661760.

The previous prime is 12331200421. The next prime is 12331200433. The reversal of 12331200432 is 23400213321.

It is a junction number, because it is equal to n+sod(n) for n = 12331200399 and 12331200408.

It is not an unprimeable number, because it can be changed into a prime (12331200433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4427919 + ... + 4430702.

It is an arithmetic number, because the mean of its divisors is an integer number (823851846).

Almost surely, 212331200432 is an apocalyptic number.

12331200432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12331200432 is an abundant number, since it is smaller than the sum of its proper divisors (20622873408).

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

12331200432 is a wasteful number, since it uses less digits than its factorization.

12331200432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8858661 (or 8858655 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12331200432 its reverse (23400213321), we get a palindrome (35731413753).

The spelling of 12331200432 in words is "twelve billion, three hundred thirty-one million, two hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 8858621 17717242 26575863 35434484 53151726 70868968 106303452 141737936 212606904 256900009 425213808 513800018 770700027 1027600036 1541400054 2055200072 3082800108 4110400144 6165600216 12331200432