Search a number
-
+
110212030131000 = 23353723792888383
BaseRepresentation
bin11001000011110010111100…
…111001111110101100111000
3112110020011111212122102220220
4121003302330321332230320
5103421203214203143000
61030222412505220040
732133361564063020
oct3103627471765470
9473204455572826
10110212030131000
1132131728872916
121043b9b5a91620
134965c46a74935
141d3040da44a80
15cb1d03daa1a0
hex643cbce7eb38

110212030131000 has 512 divisors, whose sum is σ = 415261812326400. Its totient is φ = 23791024857600.

The previous prime is 110212030130941. The next prime is 110212030131041. The reversal of 110212030131000 is 131030212011.

It is a happy number.

It is a super-2 number, since 2×1102120301310002 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36712809 + ... + 39601191.

It is an arithmetic number, because the mean of its divisors is an integer number (811058227200).

Almost surely, 2110212030131000 is an apocalyptic number.

110212030131000 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 110212030131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207630906163200).

110212030131000 is an abundant number, since it is smaller than the sum of its proper divisors (305049782195400).

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

110212030131000 is a wasteful number, since it uses less digits than its factorization.

110212030131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888516 (or 2888502 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 110212030131000 its reverse (131030212011), we get a palindrome (110343060343011).

The spelling of 110212030131000 in words is "one hundred ten trillion, two hundred twelve billion, thirty million, one hundred thirty-one thousand".