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3021200100 = 2233522414643
BaseRepresentation
bin1011010000010011…
…1101101011100100
321210112220212102000
42310010331223210
522141411400400
61215442445300
7134603530362
oct26404755344
97715825360
103021200100
111310430396
12703963830
13391bc7c89
14209364632
1512a380600
hexb413dae4

3021200100 has 144 divisors (see below), whose sum is σ = 9755000640. Its totient is φ = 802137600.

The previous prime is 3021200093. The next prime is 3021200107. The reversal of 3021200100 is 10021203.

It is a happy number.

3021200100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3021200093) and next prime (3021200107).

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 (3021200107) 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, 648379 + ... + 653021.

It is an arithmetic number, because the mean of its divisors is an integer number (67743060).

Almost surely, 23021200100 is an apocalyptic number.

3021200100 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 3021200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4877500320).

3021200100 is an abundant number, since it is smaller than the sum of its proper divisors (6733800540).

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

3021200100 is a wasteful number, since it uses less digits than its factorization.

3021200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4907 (or 4894 counting only the distinct ones).

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

The square root of 3021200100 is about 54965.4445993117. Note that the first 3 decimals coincide. The cubic root of 3021200100 is about 1445.6389139888.

Adding to 3021200100 its reverse (10021203), we get a palindrome (3031221303).

The spelling of 3021200100 in words is "three billion, twenty-one million, two hundred 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 90 100 108 135 150 180 225 241 270 300 450 482 540 675 723 900 964 1205 1350 1446 2169 2410 2700 2892 3615 4338 4643 4820 6025 6507 7230 8676 9286 10845 12050 13014 13929 14460 18075 18572 21690 23215 24100 26028 27858 32535 36150 41787 43380 46430 54225 55716 65070 69645 72300 83574 92860 108450 116075 125361 130140 139290 162675 167148 208935 216900 232150 250722 278580 325350 348225 417870 464300 501444 626805 650700 696450 835740 1044675 1118963 1253610 1392900 2089350 2237926 2507220 3134025 3356889 4178700 4475852 5594815 6268050 6713778 10070667 11189630 12536100 13427556 16784445 20141334 22379260 27974075 30212001 33568890 40282668 50353335 55948150 60424002 67137780 83922225 100706670 111896300 120848004 151060005 167844450 201413340 251766675 302120010 335688900 503533350 604240020 755300025 1007066700 1510600050 3021200100