Search a number
-
+
110130310332000 = 25325372915069829
BaseRepresentation
bin11001000010100110110110…
…000001101011111001100000
3112102221100120200102112012200
4121002212312001223321200
5103413333333421111000
61030121055514253200
732124436520205120
oct3102466601537140
9472840520375180
10110130310332000
1132100003100352
1210427baa127200
13495b32255079a
141d2a49a70cc80
15caeb1e926500
hex6429b606be60

110130310332000 has 576 divisors, whose sum is σ = 462091622428800. Its totient is φ = 24304618598400.

The previous prime is 110130310331989. The next prime is 110130310332073. The reversal of 110130310332000 is 233013031011.

It is a happy number.

110130310332000 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 30 + 310 + 3 + 320 + 0 + 0 = 666.

110130310332000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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, 226915 + ... + 14842914.

It is an arithmetic number, because the mean of its divisors is an integer number (802242400050).

Almost surely, 2110130310332000 is an apocalyptic number.

110130310332000 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 110130310332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231045811214400).

110130310332000 is an abundant number, since it is smaller than the sum of its proper divisors (351961312096800).

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

110130310332000 is a wasteful number, since it uses less digits than its factorization.

110130310332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15069896 (or 15069875 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 110130310332000 its reverse (233013031011), we get a palindrome (110363323363011).

The spelling of 110130310332000 in words is "one hundred ten trillion, one hundred thirty billion, three hundred ten million, three hundred thirty-two thousand".