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12324211400 = 235261621057
BaseRepresentation
bin10110111101001010…
…01000101011001000
31011210220011210210002
423132211020223020
5200214444231100
65354530342132
7614256032324
oct133645105310
934726153702
1012324211400
115254772486
12247b42a948
13121538b8a7
1484cad4984
154c1e632d5
hex2de948ac8

12324211400 has 24 divisors (see below), whose sum is σ = 28653791970. Its totient is φ = 4929684480.

The previous prime is 12324211399. The next prime is 12324211409. The reversal of 12324211400 is 411242321.

It can be written as a sum of positive squares in 3 ways, for example, as 9926933956 + 2397277444 = 99634^2 + 48962^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12324211409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30810329 + ... + 30810728.

Almost surely, 212324211400 is an apocalyptic number.

12324211400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12324211400 is an abundant number, since it is smaller than the sum of its proper divisors (16329580570).

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

12324211400 is a wasteful number, since it uses less digits than its factorization.

12324211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61621073 (or 61621064 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12324211400 its reverse (411242321), we get a palindrome (12735453721).

The spelling of 12324211400 in words is "twelve billion, three hundred twenty-four million, two hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 61621057 123242114 246484228 308105285 492968456 616210570 1232421140 1540526425 2464842280 3081052850 6162105700 12324211400