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10330203300 = 2235289421919
BaseRepresentation
bin10011001111011101…
…00110010010100100
3222122221002200220020
421213232212102210
5132124013001200
64425020035140
7513664164534
oct114756462244
928587080806
1010330203300
1144211486aa
122003692ab0
13c88231941
146ddd594c4
15406d85ea0
hex267ba64a4

10330203300 has 144 divisors (see below), whose sum is σ = 30329308800. Its totient is φ = 2714342400.

The previous prime is 10330203287. The next prime is 10330203319. The reversal of 10330203300 is 330203301.

10330203300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10330203300.

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, 11240241 + ... + 11241159.

It is an arithmetic number, because the mean of its divisors is an integer number (210620200).

Almost surely, 210330203300 is an apocalyptic number.

10330203300 is a gapful number since it is divisible by the number (10) 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 10330203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15164654400).

10330203300 is an abundant number, since it is smaller than the sum of its proper divisors (19999105500).

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

10330203300 is a wasteful number, since it uses less digits than its factorization.

10330203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1439 counting only the distinct ones).

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

Adding to 10330203300 its reverse (330203301), we get a palindrome (10660406601).

Subtracting from 10330203300 its reverse (330203301), we obtain a palindrome (9999999999).

The spelling of 10330203300 in words is "ten billion, three hundred thirty million, two hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 89 100 150 178 267 300 356 421 445 534 842 890 919 1068 1263 1335 1684 1780 1838 2105 2225 2526 2670 2757 3676 4210 4450 4595 5052 5340 5514 6315 6675 8420 8900 9190 10525 11028 12630 13350 13785 18380 21050 22975 25260 26700 27570 31575 37469 42100 45950 55140 63150 68925 74938 81791 91900 112407 126300 137850 149876 163582 187345 224814 245373 275700 327164 374690 386899 408955 449628 490746 562035 749380 773798 817910 936725 981492 1124070 1160697 1226865 1547596 1635820 1873450 1934495 2044775 2248140 2321394 2453730 2810175 3746900 3868990 4089550 4642788 4907460 5620350 5803485 6134325 7737980 8179100 9672475 11240700 11606970 12268650 19344950 23213940 24537300 29017425 34434011 38689900 58034850 68868022 103302033 116069700 137736044 172170055 206604066 344340110 413208132 516510165 688680220 860850275 1033020330 1721700550 2066040660 2582550825 3443401100 5165101650 10330203300