Search a number
-
+
3112312113300 = 22352131946789939
BaseRepresentation
bin101101010010100100010…
…000100000100010010100
3102000112102101022210000010
4231102210100200202110
5401443003400111200
610341435413520220
7440566665316455
oct55224420404224
912015371283003
103112312113300
11a9aa19060825
1242322b043070
1319764a053690
14aa8cb1bd12c
1555e59802150
hex2d4a4420894

3112312113300 has 288 divisors, whose sum is σ = 10230020236800. Its totient is φ = 724223946240.

The previous prime is 3112312113289. The next prime is 3112312113341. The reversal of 3112312113300 is 33112132113.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34559731 + ... + 34649669.

It is an arithmetic number, because the mean of its divisors is an integer number (35520903600).

Almost surely, 23112312113300 is an apocalyptic number.

3112312113300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3112312113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5115010118400).

3112312113300 is an abundant number, since it is smaller than the sum of its proper divisors (7117708123500).

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

3112312113300 is a wasteful number, since it uses less digits than its factorization.

3112312113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90455 (or 90448 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 3112312113300 its reverse (33112132113), we get a palindrome (3145424245413).

The spelling of 3112312113300 in words is "three trillion, one hundred twelve billion, three hundred twelve million, one hundred thirteen thousand, three hundred".