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103212320 = 255645077
BaseRepresentation
bin1100010011011…
…10010100100000
321012012201200112
412021232110200
5202410243240
614124110452
72362201361
oct611562440
9235181615
10103212320
1153295a42
122a695428
13184c99a3
14d9c9b68
1590db665
hex626e520

103212320 has 24 divisors (see below), whose sum is σ = 243839484. Its totient is φ = 41284864.

The previous prime is 103212311. The next prime is 103212323. The reversal of 103212320 is 23212301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 100240144 + 2972176 = 10012^2 + 1724^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103212295 and 103212304.

It is not an unprimeable number, because it can be changed into a prime (103212323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 322379 + ... + 322698.

Almost surely, 2103212320 is an apocalyptic number.

103212320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103212320 is an abundant number, since it is smaller than the sum of its proper divisors (140627164).

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

103212320 is an equidigital number, since it uses as much as digits as its factorization.

103212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645092 (or 645084 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 103212320 is about 10159.3464356719. The cubic root of 103212320 is about 469.0766843906.

Adding to 103212320 its reverse (23212301), we get a palindrome (126424621).

The spelling of 103212320 in words is "one hundred three million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 645077 1290154 2580308 3225385 5160616 6450770 10321232 12901540 20642464 25803080 51606160 103212320