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2302013120 = 265116171151
BaseRepresentation
bin1000100100110101…
…1110111011000000
312221102122101100012
42021031132323000
514203303404440
61020232044052
7111021534341
oct21115367300
95842571305
102302013120
11a81476590
12542b33628
132a8bcb554
1417ba340c8
15d716ce65
hex8935eec0

2302013120 has 224 divisors, whose sum is σ = 6204460032. Its totient is φ = 806400000.

The previous prime is 2302013113. The next prime is 2302013149. The reversal of 2302013120 is 213102032.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2302013095 and 2302013104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15245045 + ... + 15245195.

Almost surely, 22302013120 is an apocalyptic number.

2302013120 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 2302013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102230016).

2302013120 is an abundant number, since it is smaller than the sum of its proper divisors (3902446912).

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

2302013120 is a wasteful number, since it uses less digits than its factorization.

2302013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2302013120 is about 47979.2988694083. The cubic root of 2302013120 is about 1320.3911298839.

Adding to 2302013120 its reverse (213102032), we get a palindrome (2515115152).

The spelling of 2302013120 in words is "two billion, three hundred two million, thirteen thousand, one hundred twenty".