Search a number
-
+
11323331232000 = 28353709166363
BaseRepresentation
bin1010010011000110101100…
…1000101100000100000000
31111002111111102102002112020
42210301223020230010000
52441010140243411000
640025511102001440
72246040463254354
oct244615310540400
944074442362466
1011323331232000
11367621a311127
12132a654876280
13641a29b26588
142b20a3189464
1514982c2a5ba0
hexa4c6b22c100

11323331232000 has 288 divisors, whose sum is σ = 37663718252160. Its totient is φ = 3015277977600.

The previous prime is 11323331231981. The next prime is 11323331232023. The reversal of 11323331232000 is 23213332311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67980819 + ... + 68147181.

Almost surely, 211323331232000 is an apocalyptic number.

11323331232000 is a gapful number since it is divisible by the number (10) 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 11323331232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18831859126080).

11323331232000 is an abundant number, since it is smaller than the sum of its proper divisors (26340387020160).

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

11323331232000 is an equidigital number, since it uses as much as digits as its factorization.

11323331232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167106 (or 167082 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 11323331232000 its reverse (23213332311), we get a palindrome (11346544564311).

The spelling of 11323331232000 in words is "eleven trillion, three hundred twenty-three billion, three hundred thirty-one million, two hundred thirty-two thousand".