Search a number
-
+
23233104201120 = 25351113037337517
BaseRepresentation
bin1010100100001011000001…
…11011000100010110100000
310001021001200222102010101020
411102011200323010112200
511021122344133413440
6121225050221405440
74615351660214622
oct522054073042640
9101231628363336
1023233104201120
1174481166aa210
122732893709880
13cc6b45664198
145a46b9a4cc12
152a452de513d0
hex152160ec45a0

23233104201120 has 192 divisors, whose sum is σ = 79843754906496. Its totient is φ = 5631818977280.

The previous prime is 23233104201119. The next prime is 23233104201173. The reversal of 23233104201120 is 2110240133232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68666602 + ... + 69004118.

It is an arithmetic number, because the mean of its divisors is an integer number (415852890138).

Almost surely, 223233104201120 is an apocalyptic number.

23233104201120 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 23233104201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39921877453248).

23233104201120 is an abundant number, since it is smaller than the sum of its proper divisors (56610650705376).

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

23233104201120 is a wasteful number, since it uses less digits than its factorization.

23233104201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350583 (or 350575 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 23233104201120 its reverse (2110240133232), we get a palindrome (25343344334352).

The spelling of 23233104201120 in words is "twenty-three trillion, two hundred thirty-three billion, one hundred four million, two hundred one thousand, one hundred twenty".