Search a number
-
+
23300232300000 = 253255174393469
BaseRepresentation
bin1010100110001000000100…
…00100011100010111100000
310001111110222020202212112200
411103010002010130113200
511023222333432100000
6121315551241453200
74623246322513665
oct523040204342740
9101443866685480
1023300232300000
117473633774487
1227438a87a1200
131000282ac8656
145a7a47085a6c
152a615c373500
hex15310211c5e0

23300232300000 has 864 divisors, whose sum is σ = 87916582353600. Its totient is φ = 5832898560000.

The previous prime is 23300232299987. The next prime is 23300232300071. The reversal of 23300232300000 is 323200332.

23300232300000 is a `hidden beast` number, since 2 + 330 + 0 + 2 + 32 + 300 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6716698266 + ... + 6716701734.

It is an arithmetic number, because the mean of its divisors is an integer number (101755303650).

Almost surely, 223300232300000 is an apocalyptic number.

23300232300000 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 23300232300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43958291176800).

23300232300000 is an abundant number, since it is smaller than the sum of its proper divisors (64616350053600).

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

23300232300000 is a wasteful number, since it uses less digits than its factorization.

23300232300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3966 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 23300232300000 its reverse (323200332), we get a palindrome (23300555500332).

The spelling of 23300232300000 in words is "twenty-three trillion, three hundred billion, two hundred thirty-two million, three hundred thousand".