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12344405200 = 245230861013
BaseRepresentation
bin10110111111100100…
…01010110011010000
31011212022011202110121
423133302022303100
5200240131431300
65400531240024
7614622466351
oct133762126320
934768152417
1012344405200
115265105376
122486149014
13121960c29a
1485166dd28
154c3b0181a
hex2dfc8acd0

12344405200 has 30 divisors (see below), whose sum is σ = 29657434454. Its totient is φ = 4937761920.

The previous prime is 12344405191. The next prime is 12344405221. The reversal of 12344405200 is 250444321.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 34058896 + 12310346304 = 5836^2 + 110952^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15430107 + ... + 15430906.

Almost surely, 212344405200 is an apocalyptic number.

12344405200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12344405200 is an abundant number, since it is smaller than the sum of its proper divisors (17313029254).

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

12344405200 is a wasteful number, since it uses less digits than its factorization.

12344405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30861031 (or 30861020 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 12344405200 its reverse (250444321), we get a palindrome (12594849521).

The spelling of 12344405200 in words is "twelve billion, three hundred forty-four million, four hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 30861013 61722026 123444052 154305065 246888104 308610130 493776208 617220260 771525325 1234440520 1543050650 2468881040 3086101300 6172202600 12344405200