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2301119120 = 24528763989
BaseRepresentation
bin1000100100101000…
…0100101010010000
312221100221222000002
42021022010222100
514203041302440
61020200545132
7111011122046
oct21112045220
95840858002
102301119120
11a80a15943
125427821a8
132a8977661
1417b880396
15d7043115
hex89284a90

2301119120 has 20 divisors (see below), whose sum is σ = 5350102140. Its totient is φ = 920447616.

The previous prime is 2301119113. The next prime is 2301119143. The reversal of 2301119120 is 219111032.

It can be written as a sum of positive squares in 2 ways, for example, as 808378624 + 1492740496 = 28432^2 + 38636^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2301119092 and 2301119101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14381915 + ... + 14382074.

It is an arithmetic number, because the mean of its divisors is an integer number (267505107).

Almost surely, 22301119120 is an apocalyptic number.

2301119120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2301119120 is an abundant number, since it is smaller than the sum of its proper divisors (3048983020).

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

2301119120 is a wasteful number, since it uses less digits than its factorization.

2301119120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28764002 (or 28763996 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 2301119120 is about 47969.9814467340. The cubic root of 2301119120 is about 1320.2201805958.

The spelling of 2301119120 in words is "two billion, three hundred one million, one hundred nineteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 28763989 57527978 115055956 143819945 230111912 287639890 460223824 575279780 1150559560 2301119120