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2002031300 = 2252211239397
BaseRepresentation
bin111011101010100…
…1001001011000100
312011112011201122102
41313111021023010
513100010000200
6530354251232
7100416661643
oct16725111304
95145151572
102002031300
11938104825
1247a586b18
1325ba08b09
1414dc6735a
15bab646d5
hex775492c4

2002031300 has 72 divisors (see below), whose sum is σ = 4394302080. Its totient is φ = 791683200.

The previous prime is 2002031293. The next prime is 2002031303. The reversal of 2002031300 is 31302002.

It is not an unprimeable number, because it can be changed into a prime (2002031303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5042702 + ... + 5043098.

Almost surely, 22002031300 is an apocalyptic number.

2002031300 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 2002031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197151040).

2002031300 is an abundant number, since it is smaller than the sum of its proper divisors (2392270780).

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

2002031300 is a wasteful number, since it uses less digits than its factorization.

2002031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 2002031300 is about 44744.0644108244. The cubic root of 2002031300 is about 1260.3474518405.

Adding to 2002031300 its reverse (31302002), we get a palindrome (2033333302).

The spelling of 2002031300 in words is "two billion, two million, thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 211 239 397 422 478 794 844 956 1055 1195 1588 1985 2110 2390 3970 4220 4780 5275 5975 7940 9925 10550 11950 19850 21100 23900 39700 50429 83767 94883 100858 167534 189766 201716 252145 335068 379532 418835 474415 504290 837670 948830 1008580 1260725 1675340 1897660 2094175 2372075 2521450 4188350 4744150 5042900 8376700 9488300 20020313 40040626 80081252 100101565 200203130 400406260 500507825 1001015650 2002031300