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2303130120 = 2335293137577
BaseRepresentation
bin1000100101000110…
…1111101000001000
312221111202010120120
42021101233220020
514204100130440
61020312023240
7111034166034
oct21121575010
95844663516
102303130120
11a82069825
12543391b20
132a91ccab5
1417bc451c4
15d72dddd0
hex8946fa08

2303130120 has 256 divisors, whose sum is σ = 7590758400. Its totient is φ = 557383680.

The previous prime is 2303130119. The next prime is 2303130121. The reversal of 2303130120 is 210313032.

It is an interprime number because it is at equal distance from previous prime (2303130119) and next prime (2303130121).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2303130120.

It is not an unprimeable number, because it can be changed into a prime (2303130121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3991272 + ... + 3991848.

It is an arithmetic number, because the mean of its divisors is an integer number (29651400).

Almost surely, 22303130120 is an apocalyptic number.

2303130120 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 2303130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795379200).

2303130120 is an abundant number, since it is smaller than the sum of its proper divisors (5287628280).

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

2303130120 is a wasteful number, since it uses less digits than its factorization.

2303130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2303130120 is about 47990.9378945651. The cubic root of 2303130120 is about 1320.6046586997.

Adding to 2303130120 its reverse (210313032), we get a palindrome (2513443152).

The spelling of 2303130120 in words is "two billion, three hundred three million, one hundred thirty thousand, one hundred twenty".