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12322103220200 = 235261610516101
BaseRepresentation
bin1011001101001111011010…
…0101011101011111101000
31121121222111120010001111202
42303103312211131133220
53103341131411021300
642112410203543332
72411146130140154
oct263236645353750
947558446101452
1012322103220200
113a20858038634
12147013352ab48
136b4c7a8708c7
14308570490064
151657d5cebad5
hexb34f695d7e8

12322103220200 has 24 divisors (see below), whose sum is σ = 28648889987430. Its totient is φ = 4928841288000.

The previous prime is 12322103220173. The next prime is 12322103220209. The reversal of 12322103220200 is 202230122321.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5236380962596 + 7085722257604 = 2288314^2 + 2661902^2 .

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 (12322103220209) 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, 30805257851 + ... + 30805258250.

Almost surely, 212322103220200 is an apocalyptic number.

12322103220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12322103220200 is an abundant number, since it is smaller than the sum of its proper divisors (16326786767230).

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

12322103220200 is a wasteful number, since it uses less digits than its factorization.

12322103220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61610516117 (or 61610516108 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12322103220200 its reverse (202230122321), we get a palindrome (12524333342521).

The spelling of 12322103220200 in words is "twelve trillion, three hundred twenty-two billion, one hundred three million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 61610516101 123221032202 246442064404 308052580505 492884128808 616105161010 1232210322020 1540262902525 2464420644040 3080525805050 6161051610100 12322103220200