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23233101120 = 263258990641
BaseRepresentation
bin10101101000110011…
…001111110101000000
32012222011011211012200
4111220303033311000
5340040133213440
614401221553200
71451511046455
oct255063176500
965864154180
1023233101120
119942530819
124604875800
132263465b18
1411a584982c
1590ea06c30
hex568ccfd40

23233101120 has 168 divisors, whose sum is σ = 80810968680. Its totient is φ = 6125813760.

The previous prime is 23233101079. The next prime is 23233101137. The reversal of 23233101120 is 2110133232.

23233101120 is a `hidden beast` number, since 2 + 323 + 310 + 11 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2957619456 + 20275481664 = 54384^2 + 142392^2 .

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 = 23233101093 and 23233101102.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 211000 + ... + 301640.

Almost surely, 223233101120 is an apocalyptic number.

23233101120 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 23233101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40405484340).

23233101120 is an abundant number, since it is smaller than the sum of its proper divisors (57577867560).

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

23233101120 is a wasteful number, since it uses less digits than its factorization.

23233101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90753 (or 90740 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23233101120 its reverse (2110133232), we get a palindrome (25343234352).

The spelling of 23233101120 in words is "twenty-three billion, two hundred thirty-three million, one hundred one thousand, one hundred twenty".