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3001200120 = 2333516672
BaseRepresentation
bin1011001011100010…
…1010110111111000
321202011021202121000
42302320222313320
522121301400440
61213450045000
7134241531402
oct26270526770
97664252530
103001200120
111300110086
126b9119760
1338aa14879
14206839b72
1512872e730
hexb2e2adf8

3001200120 has 96 divisors (see below), whose sum is σ = 10010005200. Its totient is φ = 799839936.

The previous prime is 3001200113. The next prime is 3001200131. The reversal of 3001200120 is 210021003.

It is a happy number.

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

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, 1799527 + ... + 1801193.

Almost surely, 23001200120 is an apocalyptic number.

3001200120 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 3001200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5005002600).

3001200120 is an abundant number, since it is smaller than the sum of its proper divisors (7008805080).

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

3001200120 is an equidigital number, since it uses as much as digits as its factorization.

3001200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3354 (or 1677 counting only the distinct ones).

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

The square root of 3001200120 is about 54783.2102016667. The cubic root of 3001200120 is about 1442.4418638407.

Adding to 3001200120 its reverse (210021003), we get a palindrome (3211221123).

The spelling of 3001200120 in words is "three billion, one million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1667 3334 5001 6668 8335 10002 13336 15003 16670 20004 25005 30006 33340 40008 45009 50010 60012 66680 75015 90018 100020 120024 150030 180036 200040 225045 300060 360072 450090 600120 900180 1800360 2778889 5557778 8336667 11115556 13894445 16673334 22231112 25010001 27788890 33346668 41683335 50020002 55577780 66693336 75030003 83366670 100040004 111155560 125050005 150060006 166733340 200080008 250100010 300120012 333466680 375150015 500200020 600240024 750300030 1000400040 1500600060 3001200120