Search a number
-
+
23132310000 = 243541940583
BaseRepresentation
bin10101100010110010…
…110000100111110000
32012201010112002210020
4111202302300213300
5334333332410000
614343221403440
71446145251012
oct254262604760
965633462706
1023132310000
1198a0649978
124596b69580
1322486061c7
1411962d01b2
15905c47ba0
hex562cb09f0

23132310000 has 200 divisors, whose sum is σ = 78606337920. Its totient is φ = 5843808000.

The previous prime is 23132309953. The next prime is 23132310001. The reversal of 23132310000 is 1323132.

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

It is a super-2 number, since 2×231323100002 (a number of 22 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 not an unprimeable number, because it can be changed into a prime (23132310001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 549709 + ... + 590291.

Almost surely, 223132310000 is an apocalyptic number.

23132310000 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 23132310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39303168960).

23132310000 is an abundant number, since it is smaller than the sum of its proper divisors (55474027920).

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

23132310000 is a wasteful number, since it uses less digits than its factorization.

23132310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40633 (or 40612 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 23132310000 its reverse (1323132), we get a palindrome (23133633132).

The spelling of 23132310000 in words is "twenty-three billion, one hundred thirty-two million, three hundred ten thousand".