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23002411320 = 23335723263503
BaseRepresentation
bin10101011011000011…
…001111000100111000
32012101002002120022000
4111123003033010320
5334102104130240
614322301301000
71443010161450
oct253303170470
965332076260
1023002411320
119834297099
12455b564760
132227724895
141182d58d60
158e9639430
hex55b0cf138

23002411320 has 512 divisors, whose sum is σ = 91968307200. Its totient is φ = 5000016384.

The previous prime is 23002411309. The next prime is 23002411321. The reversal of 23002411320 is 2311420032.

23002411320 is a `hidden beast` number, since 2 + 300 + 2 + 41 + 1 + 320 = 666.

It is a super-2 number, since 2×230024113202 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 23002411293 and 23002411302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23002411321) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 45730189 + ... + 45730691.

It is an arithmetic number, because the mean of its divisors is an integer number (179625600).

Almost surely, 223002411320 is an apocalyptic number.

23002411320 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 23002411320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45984153600).

23002411320 is an abundant number, since it is smaller than the sum of its proper divisors (68965895880).

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

23002411320 is a wasteful number, since it uses less digits than its factorization.

23002411320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23002411320 its reverse (2311420032), we get a palindrome (25313831352).

The spelling of 23002411320 in words is "twenty-three billion, two million, four hundred eleven thousand, three hundred twenty".