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20232112320 = 2632574323339
BaseRepresentation
bin10010110101111011…
…011000100011000000
31221020000021210111100
4102311323120203000
5312413410043240
613143340214400
71314241055130
oct226573304300
957200253440
1020232112320
118642555492
123b0783a400
131ba57c64c4
14d9d066ac0
157d6319e30
hex4b5ed88c0

20232112320 has 336 divisors, whose sum is σ = 81384526080. Its totient is φ = 4516743168.

The previous prime is 20232112319. The next prime is 20232112321. The reversal of 20232112320 is 2321123202.

20232112320 is a `hidden beast` number, since 2 + 0 + 232 + 112 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (20232112319) and next prime (20232112321).

It is a tau number, because it is divible by the number of its divisors (336).

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 = 20232112293 and 20232112302.

It is not an unprimeable number, because it can be changed into a prime (20232112321) 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, 855211 + ... + 878549.

Almost surely, 220232112320 is an apocalyptic number.

20232112320 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 20232112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40692263040).

20232112320 is an abundant number, since it is smaller than the sum of its proper divisors (61152413760).

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

20232112320 is a wasteful number, since it uses less digits than its factorization.

20232112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23412 (or 23399 counting only the distinct ones).

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

Adding to 20232112320 its reverse (2321123202), we get a palindrome (22553235522).

The spelling of 20232112320 in words is "twenty billion, two hundred thirty-two million, one hundred twelve thousand, three hundred twenty".