Search a number
-
+
3330031000200 = 2335243129070969
BaseRepresentation
bin110000011101010101010…
…100001001101010001000
3102210100101120211011211220
4300131111110021222020
5414024400414001300
611025443425122040
7462405162321042
oct60352524115210
912710346734756
103330031000200
11107429275aa03
12459470789320
131b2036288bc8
14b7262632a92
155b94d601da0
hex30755509a88

3330031000200 has 96 divisors (see below), whose sum is σ = 10563168184800. Its totient is φ = 867356904960.

The previous prime is 3330031000181. The next prime is 3330031000237. The reversal of 3330031000200 is 20001300333.

It is a super-2 number, since 2×33300310002002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3330031000200.

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 23 ways as a sum of consecutive naturals, for example, 64509685 + ... + 64561284.

It is an arithmetic number, because the mean of its divisors is an integer number (110033001925).

Almost surely, 23330031000200 is an apocalyptic number.

3330031000200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3330031000200 is an abundant number, since it is smaller than the sum of its proper divisors (7233137184600).

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

3330031000200 is a wasteful number, since it uses less digits than its factorization.

3330031000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129071031 (or 129071022 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 3330031000200 its reverse (20001300333), we get a palindrome (3350032300533).

The spelling of 3330031000200 in words is "three trillion, three hundred thirty billion, thirty-one million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 129 150 172 200 215 258 300 344 430 516 600 645 860 1032 1075 1290 1720 2150 2580 3225 4300 5160 6450 8600 12900 25800 129070969 258141938 387212907 516283876 645354845 774425814 1032567752 1290709690 1548851628 1936064535 2581419380 3097703256 3226774225 3872129070 5162838760 5550051667 6453548450 7744258140 9680322675 11100103334 12907096900 15488516280 16650155001 19360645350 22200206668 25814193800 27750258335 33300310002 38721290700 44400413336 55500516670 66600620004 77442581400 83250775005 111001033340 133201240008 138751291675 166501550010 222002066680 277502583350 333003100020 416253875025 555005166700 666006200040 832507750050 1110010333400 1665015500100 3330031000200