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301012020 = 223253745197
BaseRepresentation
bin10001111100010…
…001010000110100
3202222101222212100
4101330101100310
51104024341040
645511422100
710313363031
oct2174212064
9688358770
10301012020
11144a05871
1284984930
134a49362a
142bd98388
151b65db30
hex11f11434

301012020 has 72 divisors (see below), whose sum is σ = 937768104. Its totient is φ = 78098688.

The previous prime is 301011961. The next prime is 301012031. The reversal of 301012020 is 20210103.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 160731684 + 140280336 = 12678^2 + 11844^2 .

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 = 301011993 and 301012011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15939 + ... + 29258.

It is an arithmetic number, because the mean of its divisors is an integer number (13024557).

Almost surely, 2301012020 is an apocalyptic number.

301012020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

301012020 is an abundant number, since it is smaller than the sum of its proper divisors (636756084).

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

301012020 is a wasteful number, since it uses less digits than its factorization.

301012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45249 (or 45244 counting only the distinct ones).

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

The square root of 301012020 is about 17349.6979800802. The cubic root of 301012020 is about 670.1848602549.

Adding to 301012020 its reverse (20210103), we get a palindrome (321222123).

The spelling of 301012020 in words is "three hundred one million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 45197 90394 135591 180788 225985 271182 406773 451970 542364 677955 813546 903940 1355910 1627092 1672289 2033865 2711820 3344578 4067730 5016867 6689156 8135460 8361445 10033734 15050601 16722890 20067468 25084335 30101202 33445780 50168670 60202404 75253005 100337340 150506010 301012020