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23301130320 = 243251319131023
BaseRepresentation
bin10101101100110110…
…110000100001010000
32020010220012001201200
4111230312300201100
5340210042132240
614412052031200
71453265224356
oct255466604120
966126161650
1023301130320
1199779760a6
124623602500
1322745945a0
1411b08b77d6
15915993930
hex56cdb0850

23301130320 has 240 divisors, whose sum is σ = 88708488960. Its totient is φ = 5433744384.

The previous prime is 23301130297. The next prime is 23301130327. The reversal of 23301130320 is 2303110332.

23301130320 is a `hidden beast` number, since 2 + 330 + 1 + 13 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 23301130293 and 23301130302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23301130327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112329 + ... + 243351.

It is an arithmetic number, because the mean of its divisors is an integer number (369618704).

Almost surely, 223301130320 is an apocalyptic number.

23301130320 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 23301130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44354244480).

23301130320 is an abundant number, since it is smaller than the sum of its proper divisors (65407358640).

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

23301130320 is a wasteful number, since it uses less digits than its factorization.

23301130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131074 (or 131065 counting only the distinct ones).

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

Adding to 23301130320 its reverse (2303110332), we get a palindrome (25604240652).

The spelling of 23301130320 in words is "twenty-three billion, three hundred one million, one hundred thirty thousand, three hundred twenty".