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2300712120 = 233357319817
BaseRepresentation
bin1000100100100010…
…0001010010111000
312221100012021201000
42021020201102320
514202440241440
61020144125000
7111004505340
oct21110412270
95840167630
102300712120
11a80768083
12542606760
132a8864325
1417b7b5d20
15d6eb2730
hex892214b8

2300712120 has 256 divisors, whose sum is σ = 9048268800. Its totient is φ = 508861440.

The previous prime is 2300712107. The next prime is 2300712121. The reversal of 2300712120 is 212170032.

It is a super-2 number, since 2×23007121202 = 10586552518229788800, which contains 22 as substring.

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 = 2300712093 and 2300712102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300712121) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 229452 + ... + 239268.

It is an arithmetic number, because the mean of its divisors is an integer number (35344800).

Almost surely, 22300712120 is an apocalyptic number.

2300712120 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 2300712120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4524134400).

2300712120 is an abundant number, since it is smaller than the sum of its proper divisors (6747556680).

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

2300712120 is a wasteful number, since it uses less digits than its factorization.

2300712120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9875 (or 9865 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2300712120 is about 47965.7390227650. The cubic root of 2300712120 is about 1320.1423400223.

Adding to 2300712120 its reverse (212170032), we get a palindrome (2512882152).

The spelling of 2300712120 in words is "two billion, three hundred million, seven hundred twelve thousand, one hundred twenty".