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210120302000 = 2453753283181
BaseRepresentation
bin1100001110110000100…
…1010101110110110000
3202002100122102021221102
43003230021111312300
511420311244131000
6240310011143532
721115656045440
oct3035411256660
9662318367842
10210120302000
1181125483954
1234880a44ba8
1316a77c0ab5b
14a2541dc120
1556ebb973d5
hex30ec255db0

210120302000 has 160 divisors (see below), whose sum is σ = 591610241664. Its totient is φ = 70681728000.

The previous prime is 210120301999. The next prime is 210120302003. The reversal of 210120302000 is 203021012.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (210120302003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 600410 + ... + 883590.

Almost surely, 2210120302000 is an apocalyptic number.

210120302000 is a gapful number since it is divisible by the number (20) 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 210120302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295805120832).

210120302000 is an abundant number, since it is smaller than the sum of its proper divisors (381489939664).

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

210120302000 is a wasteful number, since it uses less digits than its factorization.

210120302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283264 (or 283248 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 210120302000 its reverse (203021012), we get a palindrome (210323323012).

The spelling of 210120302000 in words is "two hundred ten billion, one hundred twenty million, three hundred two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 53 56 70 80 100 106 112 125 140 175 200 212 250 265 280 350 371 400 424 500 530 560 700 742 848 875 1000 1060 1325 1400 1484 1750 1855 2000 2120 2650 2800 2968 3500 3710 4240 5300 5936 6625 7000 7420 9275 10600 13250 14000 14840 18550 21200 26500 29680 37100 46375 53000 74200 92750 106000 148400 185500 283181 371000 566362 742000 1132724 1415905 1982267 2265448 2831810 3964534 4530896 5663620 7079525 7929068 9911335 11327240 14159050 15008593 15858136 19822670 22654480 28318100 30017186 31716272 35397625 39645340 49556675 56636200 60034372 70795250 75042965 79290680 99113350 105060151 113272400 120068744 141590500 150085930 158581360 198226700 210120302 240137488 247783375 283181000 300171860 375214825 396453400 420240604 495566750 525300755 566362000 600343720 750429650 792906800 840481208 991133500 1050601510 1200687440 1500859300 1680962416 1876074125 1982267000 2101203020 2626503775 3001718600 3752148250 3964534000 4202406040 5253007550 6003437200 7504296500 8404812080 10506015100 13132518875 15008593000 21012030200 26265037750 30017186000 42024060400 52530075500 105060151000 210120302000