Search a number
-
+
1131110331120 = 24325711127160649
BaseRepresentation
bin10000011101011011011…
…011011111001011110000
311000010121000122100001200
4100131123123133023300
5122013003221043440
62223342551531200
7144501653115240
oct20353333371360
94003530570050
101131110331120
113a6779326250
12163272689b00
13828811ca523
143ca6317db20
151e651d01c30
hex1075b6df2f0

1131110331120 has 480 divisors, whose sum is σ = 4773294489600. Its totient is φ = 233183784960.

The previous prime is 1131110331083. The next prime is 1131110331149. The reversal of 1131110331120 is 211330111311.

1131110331120 is a `hidden beast` number, since 1 + 1 + 311 + 1 + 0 + 331 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1131110331093 and 1131110331102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6960556 + ... + 7121204.

It is an arithmetic number, because the mean of its divisors is an integer number (9944363520).

Almost surely, 21131110331120 is an apocalyptic number.

1131110331120 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 1131110331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386647244800).

1131110331120 is an abundant number, since it is smaller than the sum of its proper divisors (3642184158480).

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

1131110331120 is a wasteful number, since it uses less digits than its factorization.

1131110331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160813 (or 160804 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1131110331120 its reverse (211330111311), we get a palindrome (1342440442431).

The spelling of 1131110331120 in words is "one trillion, one hundred thirty-one billion, one hundred ten million, three hundred thirty-one thousand, one hundred twenty".