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23001120320 = 2651929731787
BaseRepresentation
bin10101011010111110…
…010011111001000000
32012100222122222101012
4111122332103321000
5334101241322240
614322213500052
71442663203553
oct253276237100
965328588335
1023001120320
119833595152
12455b041628
132227392089
141182b0069a
158e9481b65
hex55af93e40

23001120320 has 224 divisors, whose sum is σ = 60493046400. Its totient is φ = 8295727104.

The previous prime is 23001120299. The next prime is 23001120391. The reversal of 23001120320 is 2302110032.

It is a happy number.

It is a super-3 number, since 3×230011203203 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23001120295 and 23001120304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12870467 + ... + 12872253.

Almost surely, 223001120320 is an apocalyptic number.

23001120320 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 23001120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30246523200).

23001120320 is an abundant number, since it is smaller than the sum of its proper divisors (37491926080).

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

23001120320 is a wasteful number, since it uses less digits than its factorization.

23001120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 23001120320 its reverse (2302110032), we get a palindrome (25303230352).

The spelling of 23001120320 in words is "twenty-three billion, one million, one hundred twenty thousand, three hundred twenty".