Search a number
-
+
110011321020120 = 233513292944382591
BaseRepresentation
bin11001000000111000000001…
…101101011110111011011000
3112102111222110010001012011120
4121000320001231132323120
5103404411141140120440
61025550300404325240
732113025042560242
oct3100700155367330
9472458403035146
10110011321020120
11320645a27aa173
1210408b209a3820
13495003b876430
141d2480d6d7092
15cab9a8563dd0
hex640e01b5eed8

110011321020120 has 256 divisors, whose sum is σ = 367694033817600. Its totient is φ = 26144722114560.

The previous prime is 110011321020079. The next prime is 110011321020127. The reversal of 110011321020120 is 21020123110011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110011321020120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110011321020127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1331960025 + ... + 1332042615.

It is an arithmetic number, because the mean of its divisors is an integer number (1436304819600).

Almost surely, 2110011321020120 is an apocalyptic number.

110011321020120 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 110011321020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183847016908800).

110011321020120 is an abundant number, since it is smaller than the sum of its proper divisors (257682712797480).

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

110011321020120 is a wasteful number, since it uses less digits than its factorization.

110011321020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112090 (or 112086 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 110011321020120 its reverse (21020123110011), we get a palindrome (131031444130131).

The spelling of 110011321020120 in words is "one hundred ten trillion, eleven billion, three hundred twenty-one million, twenty thousand, one hundred twenty".