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3012020100 = 2233521497487
BaseRepresentation
bin1011001110000111…
…1100011110000100
321202220122110211000
42303201330132010
522132034120400
61214514013300
7134432514465
oct26341743604
97686573730
103012020100
111306230311
12700877230
1339003271b
14208054d6c
1512966a600
hexb387c784

3012020100 has 144 divisors (see below), whose sum is σ = 9749376000. Its totient is φ = 797708160.

The previous prime is 3012020059. The next prime is 3012020107. The reversal of 3012020100 is 10202103.

It is a happy number.

3012020100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3012020107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398557 + ... + 406043.

It is an arithmetic number, because the mean of its divisors is an integer number (67704000).

Almost surely, 23012020100 is an apocalyptic number.

3012020100 is a gapful number since it is divisible by the number (30) 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 3012020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874688000).

3012020100 is an abundant number, since it is smaller than the sum of its proper divisors (6737355900).

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

3012020100 is a wasteful number, since it uses less digits than its factorization.

3012020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7659 (or 7646 counting only the distinct ones).

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

The square root of 3012020100 is about 54881.8740569234. The cubic root of 3012020100 is about 1444.1732238739.

Adding to 3012020100 its reverse (10202103), we get a palindrome (3022222203).

The spelling of 3012020100 in words is "three billion, twelve million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 149 150 180 225 270 298 300 447 450 540 596 675 745 894 900 1341 1350 1490 1788 2235 2682 2700 2980 3725 4023 4470 5364 6705 7450 7487 8046 8940 11175 13410 14900 14974 16092 20115 22350 22461 26820 29948 33525 37435 40230 44700 44922 67050 67383 74870 80460 89844 100575 112305 134100 134766 149740 187175 201150 202149 224610 269532 336915 374350 402300 404298 449220 561525 673830 748700 808596 1010745 1115563 1123050 1347660 1684575 2021490 2231126 2246100 3346689 3369150 4042980 4462252 5053725 5577815 6693378 6738300 10040067 10107450 11155630 13386756 16733445 20080134 20214900 22311260 27889075 30120201 33466890 40160268 50200335 55778150 60240402 66933780 83667225 100400670 111556300 120480804 150601005 167334450 200801340 251001675 301202010 334668900 502003350 602404020 753005025 1004006700 1506010050 3012020100