Search a number
-
+
110342898000 = 2439532803
BaseRepresentation
bin110011011000011110…
…0110000000101010000
3101112210222122000000000
41212300330300011100
53301440240214000
6122405115130000
710654254105036
oct1466074600520
9345728560000
10110342898000
1142883764495
1219475743900
13a53656762a
1454aa962556
152d0c27c000
hex19b0f30150

110342898000 has 400 divisors, whose sum is σ = 400349691456. Its totient is φ = 29414275200.

The previous prime is 110342897957. The next prime is 110342898007. The reversal of 110342898000 is 898243011.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110342898007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39364599 + ... + 39367401.

Almost surely, 2110342898000 is an apocalyptic number.

110342898000 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 110342898000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200174845728).

110342898000 is an abundant number, since it is smaller than the sum of its proper divisors (290006793456).

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

110342898000 is an frugal number, since it uses more digits than its factorization.

110342898000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 110342898000 in words is "one hundred ten billion, three hundred forty-two million, eight hundred ninety-eight thousand".