Search a number
-
+
23105130000 = 24354799749
BaseRepresentation
bin10101100001001011…
…000100111000010000
32012122020101012211120
4111201023010320100
5334304403130000
614340411042240
71445365236021
oct254113047020
965566335746
1023105130000
119887275167
124589a40380
132242aaa974
141192856c48
159036796a0
hex5612c4e10

23105130000 has 200 divisors, whose sum is σ = 75538320000. Its totient is φ = 6082752000.

The previous prime is 23105129989. The next prime is 23105130031. The reversal of 23105130000 is 3150132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2365126 + ... + 2374874.

It is an arithmetic number, because the mean of its divisors is an integer number (377691600).

Almost surely, 223105130000 is an apocalyptic number.

23105130000 is a gapful number since it is divisible by the number (20) 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 23105130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37769160000).

23105130000 is an abundant number, since it is smaller than the sum of its proper divisors (52433190000).

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

23105130000 is an equidigital number, since it uses as much as digits as its factorization.

23105130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9859 (or 9838 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 23105130000 its reverse (3150132), we get a palindrome (23108280132).

The spelling of 23105130000 in words is "twenty-three billion, one hundred five million, one hundred thirty thousand".