Search a number
-
+
23023031130000 = 24325411191313389
BaseRepresentation
bin1010011110000011101111…
…00101111001011110010000
310000111222110121212102000200
411033001313211321132100
511004202131432130000
6120544345014415200
74564234113451416
oct517016745713620
9100458417772020
1023023031130000
117377015955650
1226ba026661500
13cb00a74821c5
1459846bc272b6
1529dd364d8500
hex14f077979790

23023031130000 has 1200 divisors, whose sum is σ = 88804057605120. Its totient is φ = 5520153600000.

The previous prime is 23023031129887. The next prime is 23023031130041. The reversal of 23023031130000 is 3113032032.

23023031130000 is a `hidden beast` number, since 2 + 30 + 23 + 0 + 311 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 59185169806 + ... + 59185170194.

Almost surely, 223023031130000 is an apocalyptic number.

23023031130000 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 23023031130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44402028802560).

23023031130000 is an abundant number, since it is smaller than the sum of its proper divisors (65781026475120).

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

23023031130000 is a wasteful number, since it uses less digits than its factorization.

23023031130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 23023031130000 its reverse (3113032032), we get a palindrome (23026144162032).

The spelling of 23023031130000 in words is "twenty-three trillion, twenty-three billion, thirty-one million, one hundred thirty thousand".