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301022020 = 225132334969
BaseRepresentation
bin10001111100010…
…011101101000100
3202222102111120201
4101330103231010
51104030201040
645511540244
710313434135
oct2174235504
9688374521
10301022020
11144a12332
128498a684
134a498050
142bd9bc8c
151b661a9a
hex11f13b44

301022020 has 48 divisors (see below), whose sum is σ = 683832240. Its totient is φ = 110647296.

The previous prime is 301021979. The next prime is 301022039. The reversal of 301022020 is 20220103.

It can be written as a sum of positive squares in 8 ways, for example, as 91814724 + 209207296 = 9582^2 + 14464^2 .

It is a super-2 number, since 2×3010220202 = 181228513049760800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 301021988 and 301022006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58096 + ... + 63064.

It is an arithmetic number, because the mean of its divisors is an integer number (14246505).

Almost surely, 2301022020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341916120).

301022020 is an abundant number, since it is smaller than the sum of its proper divisors (382810220).

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

301022020 is a wasteful number, since it uses less digits than its factorization.

301022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5224 (or 5222 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 301022020 is about 17349.9861671415. The cubic root of 301022020 is about 670.1922816356.

Adding to 301022020 its reverse (20220103), we get a palindrome (321242123).

The spelling of 301022020 in words is "three hundred one million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 233 260 466 932 1165 2330 3029 4660 4969 6058 9938 12116 15145 19876 24845 30290 49690 60580 64597 99380 129194 258388 322985 645970 1157777 1291940 2315554 4631108 5788885 11577770 15051101 23155540 30102202 60204404 75255505 150511010 301022020