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23001122320 = 24511253107419
BaseRepresentation
bin10101011010111110…
…010100011000010000
32012100222200002010021
4111122332110120100
5334101241403240
614322213513224
71442663212441
oct253276243020
965328602107
1023001122320
119833596700
12455b042814
132227392c67
141182b012c8
158e948254a
hex55af94610

23001122320 has 240 divisors, whose sum is σ = 60594246720. Its totient is φ = 8110136320.

The previous prime is 23001122293. The next prime is 23001122351. The reversal of 23001122320 is 2322110032.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 23001122294 and 23001122303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54895071 + ... + 54895489.

It is an arithmetic number, because the mean of its divisors is an integer number (252476028).

Almost surely, 223001122320 is an apocalyptic number.

23001122320 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 23001122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30297123360).

23001122320 is an abundant number, since it is smaller than the sum of its proper divisors (37593124400).

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

23001122320 is a wasteful number, since it uses less digits than its factorization.

23001122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 23001122320 its reverse (2322110032), we get a palindrome (25323232352).

The spelling of 23001122320 in words is "twenty-three billion, one million, one hundred twenty-two thousand, three hundred twenty".