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12130003300 = 22524323312107
BaseRepresentation
bin10110100110000000…
…10010100101100100
31011022100202000100111
423103000102211210
5144320240101200
65323352022404
7606410220052
oct132300224544
934270660314
1012130003300
115165086018
122426391a04
1311b408195c
14830dbd1d2
154aeda00ba
hex2d3012964

12130003300 has 72 divisors (see below), whose sum is σ = 27052081056. Its totient is φ = 4718434560.

The previous prime is 12130003297. The next prime is 12130003339. The reversal of 12130003300 is 330003121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 995847 + ... + 1007953.

It is an arithmetic number, because the mean of its divisors is an integer number (375723348).

Almost surely, 212130003300 is an apocalyptic number.

12130003300 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 12130003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13526040528).

12130003300 is an abundant number, since it is smaller than the sum of its proper divisors (14922077756).

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

12130003300 is a wasteful number, since it uses less digits than its factorization.

12130003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12397 (or 12390 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 12130003300 its reverse (330003121), we get a palindrome (12460006421).

The spelling of 12130003300 in words is "twelve billion, one hundred thirty million, three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 233 430 466 860 932 1075 1165 2150 2330 4300 4660 5825 10019 11650 12107 20038 23300 24214 40076 48428 50095 60535 100190 121070 200380 242140 250475 302675 500950 520601 605350 1001900 1041202 1210700 2082404 2603005 2820931 5206010 5641862 10412020 11283724 13015025 14104655 26030050 28209310 52060100 56418620 70523275 121300033 141046550 242600066 282093100 485200132 606500165 1213000330 2426000660 3032500825 6065001650 12130003300