Search a number
-
+
12003330300 = 22352139293313
BaseRepresentation
bin10110010110111010…
…00100100011111100
31010222112101100122220
423023131010203330
5144040323032200
65303025005340
7603311424033
oct131335044374
933875340586
1012003330300
1150aa626795
1223aba83850
131193a5c610
1481c24771a
154a3bcc4a0
hex2cb7448fc

12003330300 has 144 divisors (see below), whose sum is σ = 37452707040. Its totient is φ = 2950594560.

The previous prime is 12003330223. The next prime is 12003330341. The reversal of 12003330300 is 303330021.

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 12003330300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3621444 + ... + 3624756.

Almost surely, 212003330300 is an apocalyptic number.

12003330300 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 12003330300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18726353520).

12003330300 is an abundant number, since it is smaller than the sum of its proper divisors (25449376740).

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

12003330300 is a wasteful number, since it uses less digits than its factorization.

12003330300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4272 (or 4265 counting only the distinct ones).

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

Adding to 12003330300 its reverse (303330021), we get a palindrome (12306660321).

The spelling of 12003330300 in words is "twelve billion, three million, three hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 929 975 1300 1858 1950 2787 3313 3716 3900 4645 5574 6626 9290 9939 11148 12077 13252 13935 16565 18580 19878 23225 24154 27870 33130 36231 39756 43069 46450 48308 49695 55740 60385 66260 69675 72462 82825 86138 92900 99390 120770 129207 139350 144924 165650 172276 181155 198780 215345 241540 248475 258414 278700 301925 331300 362310 430690 496950 516828 603850 646035 724620 861380 905775 993900 1076725 1207700 1292070 1811550 2153450 2584140 3077777 3230175 3623100 4306900 6155554 6460350 9233331 12311108 12920700 15388885 18466662 30777770 36933324 40011101 46166655 61555540 76944425 80022202 92333310 120033303 153888850 160044404 184666620 200055505 230833275 240066606 307777700 400111010 461666550 480133212 600166515 800222020 923333100 1000277525 1200333030 2000555050 2400666060 3000832575 4001110100 6001665150 12003330300