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301120020 = 223251672889
BaseRepresentation
bin10001111100101…
…011101000010100
3202222121111000100
4101330223220110
51104041320040
645514014100
710314322635
oct2174535024
9688544010
10301120020
11144a79a23
1284a17330
134a500836
142bdc588c
151b680b30
hex11f2ba14

301120020 has 36 divisors (see below), whose sum is σ = 913397940. Its totient is φ = 80298624.

The previous prime is 301120003. The next prime is 301120049. The reversal of 301120020 is 20021103.

It is a happy number.

301120020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 186158736 + 114961284 = 13644^2 + 10722^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 301119984 and 301120011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 836265 + ... + 836624.

It is an arithmetic number, because the mean of its divisors is an integer number (25372165).

Almost surely, 2301120020 is an apocalyptic number.

301120020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

301120020 is an abundant number, since it is smaller than the sum of its proper divisors (612277920).

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

301120020 is a wasteful number, since it uses less digits than its factorization.

301120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672904 (or 1672899 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 301120020 is about 17352.8101470626. The cubic root of 301120020 is about 670.2650024701.

Adding to 301120020 its reverse (20021103), we get a palindrome (321141123).

The spelling of 301120020 in words is "three hundred one million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1672889 3345778 5018667 6691556 8364445 10037334 15056001 16728890 20074668 25093335 30112002 33457780 50186670 60224004 75280005 100373340 150560010 301120020