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2002140300 = 2235237317569
BaseRepresentation
bin111011101010110…
…0011110010001100
312011112101021011110
41313111203302030
513100021442200
6530400452020
7100420624506
oct16725436214
95145337143
102002140300
11938179706
1247a61a010
1325ba46604
1414dc94d76
15bab86b50
hex77563c8c

2002140300 has 144 divisors (see below), whose sum is σ = 5978679840. Its totient is φ = 516925440.

The previous prime is 2002140299. The next prime is 2002140313. The reversal of 2002140300 is 30412002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3518416 + ... + 3518984.

It is an arithmetic number, because the mean of its divisors is an integer number (41518610).

Almost surely, 22002140300 is an apocalyptic number.

2002140300 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 2002140300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989339920).

2002140300 is an abundant number, since it is smaller than the sum of its proper divisors (3976539540).

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

2002140300 is a wasteful number, since it uses less digits than its factorization.

2002140300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2002140300 is about 44745.2824329001. The cubic root of 2002140300 is about 1260.3703245064.

Adding to 2002140300 its reverse (30412002), we get a palindrome (2032552302).

The spelling of 2002140300 in words is "two billion, two million, one hundred forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 317 370 444 555 569 634 740 925 951 1110 1138 1268 1585 1707 1850 1902 2220 2276 2775 2845 3170 3414 3700 3804 4755 5550 5690 6340 6828 7925 8535 9510 11100 11380 11729 14225 15850 17070 19020 21053 23458 23775 28450 31700 34140 35187 42106 42675 46916 47550 56900 58645 63159 70374 84212 85350 95100 105265 117290 126318 140748 170700 175935 180373 210530 234580 252636 293225 315795 351870 360746 421060 526325 541119 586450 631590 703740 721492 879675 901865 1052650 1082238 1172900 1263180 1578975 1759350 1803730 2105300 2164476 2705595 3157950 3518700 3607460 4509325 5411190 6315900 6673801 9018650 10822380 13347602 13527975 18037300 20021403 26695204 27055950 33369005 40042806 54111900 66738010 80085612 100107015 133476020 166845025 200214030 333690050 400428060 500535075 667380100 1001070150 2002140300