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3002200120 = 2352315121611
BaseRepresentation
bin1011001011110001…
…1111000000111000
321202020011120100001
42302330133000320
522122030400440
61213523322344
7134253165013
oct26274370070
97666146301
103002200120
111300733427
126b95203b4
1338aca4a9a
14206a1a37a
1512887ab9a
hexb2f1f038

3002200120 has 64 divisors (see below), whose sum is σ = 7095651840. Its totient is φ = 1141008000.

The previous prime is 3002200099. The next prime is 3002200133. The reversal of 3002200120 is 210022003.

3002200120 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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 3002200097 and 3002200106.

It is a congruent number.

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, 128115 + ... + 149725.

It is an arithmetic number, because the mean of its divisors is an integer number (110869560).

Almost surely, 23002200120 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 3002200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3547825920).

3002200120 is an abundant number, since it is smaller than the sum of its proper divisors (4093451720).

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

3002200120 is a wasteful number, since it uses less digits than its factorization.

3002200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21796 (or 21792 counting only the distinct ones).

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

The square root of 3002200120 is about 54792.3363254388. The cubic root of 3002200120 is about 1442.6020532792.

Adding to 3002200120 its reverse (210022003), we get a palindrome (3212222123).

The spelling of 3002200120 in words is "three billion, two million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 151 184 230 302 460 604 755 920 1208 1510 3020 3473 6040 6946 13892 17365 21611 27784 34730 43222 69460 86444 108055 138920 172888 216110 432220 497053 864440 994106 1988212 2485265 3263261 3976424 4970530 6526522 9941060 13053044 16316305 19882120 26106088 32632610 65265220 75055003 130530440 150110006 300220012 375275015 600440024 750550030 1501100060 3002200120