Search a number
-
+
103113224320 = 275161114413
BaseRepresentation
bin110000000001000000…
…1101111000010000000
3100212011010201112011011
41200002001233002000
53142133441134240
6115211454130304
710310145642151
oct1400201570200
9325133645134
10103113224320
113a8037aa667
1217b984b0994
1399537b7b02
144dc26db928
152a376e66ea
hex180206f080

103113224320 has 32 divisors (see below), whose sum is σ = 246505053420. Its totient is φ = 41245289472.

The previous prime is 103113224297. The next prime is 103113224327. The reversal of 103113224320 is 23422311301.

It can be written as a sum of positive squares in 2 ways, for example, as 100580316736 + 2532907584 = 317144^2 + 50328^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 103113224291 and 103113224300.

It is not an unprimeable number, because it can be changed into a prime (103113224327) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80556567 + ... + 80557846.

Almost surely, 2103113224320 is an apocalyptic number.

103113224320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103113224320 is an abundant number, since it is smaller than the sum of its proper divisors (143391829100).

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

103113224320 is an equidigital number, since it uses as much as digits as its factorization.

103113224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161114432 (or 161114420 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 103113224320 its reverse (23422311301), we get a palindrome (126535535621).

The spelling of 103113224320 in words is "one hundred three billion, one hundred thirteen million, two hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 161114413 322228826 644457652 805572065 1288915304 1611144130 2577830608 3222288260 5155661216 6444576520 10311322432 12889153040 20622644864 25778306080 51556612160 103113224320