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2312113320 = 23325111314457
BaseRepresentation
bin1000100111010000…
…0000110010101000
312222010122112012200
42021310000302220
514213400111240
61021232340200
7111203432106
oct21164006250
95863575180
102312113320
11a87144a60
125463a4660
132ab0268ba
1417d102c76
15d7eb5930
hex89d00ca8

2312113320 has 192 divisors, whose sum is σ = 8261922240. Its totient is φ = 556108800.

The previous prime is 2312113319. The next prime is 2312113333. The reversal of 2312113320 is 233112132.

2312113320 is a `hidden beast` number, since 231 + 2 + 113 + 320 = 666.

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 = 2312113293 and 2312113302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 516532 + ... + 520988.

It is an arithmetic number, because the mean of its divisors is an integer number (43030845).

Almost surely, 22312113320 is an apocalyptic number.

2312113320 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 2312113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4130961120).

2312113320 is an abundant number, since it is smaller than the sum of its proper divisors (5949808920).

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

2312113320 is a wasteful number, since it uses less digits than its factorization.

2312113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4616 (or 4609 counting only the distinct ones).

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

The square root of 2312113320 is about 48084.4394789000. The cubic root of 2312113320 is about 1322.3194069700.

Adding to 2312113320 its reverse (233112132), we get a palindrome (2545225452).

The spelling of 2312113320 in words is "two billion, three hundred twelve million, one hundred thirteen thousand, three hundred twenty".