Search a number
-
+
231301233300 = 223521745353183
BaseRepresentation
bin1101011101101010100…
…0001011101010010100
3211010000210002002101110
43113122220023222110
512242201103431200
6254131444055020
722465601020644
oct3273250135224
9733023062343
10231301233300
118a104575055
12389b2394470
1318a721616b7
14b2a328c524
15603b433b50
hex35daa0ba94

231301233300 has 72 divisors (see below), whose sum is σ = 708598146816. Its totient is φ = 58052072960.

The previous prime is 231301233281. The next prime is 231301233329. The reversal of 231301233300 is 3332103132.

231301233300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×2313012333005 (a number of 58 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22671492 + ... + 22681691.

It is an arithmetic number, because the mean of its divisors is an integer number (9841640928).

Almost surely, 2231301233300 is an apocalyptic number.

231301233300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231301233300 is an abundant number, since it is smaller than the sum of its proper divisors (477296913516).

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

231301233300 is a wasteful number, since it uses less digits than its factorization.

231301233300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45353217 (or 45353210 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 231301233300 its reverse (3332103132), we get a palindrome (234633336432).

The spelling of 231301233300 in words is "two hundred thirty-one billion, three hundred one million, two hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 45353183 90706366 136059549 181412732 226765915 272119098 453531830 544238196 680297745 771004111 907063660 1133829575 1360595490 1542008222 2267659150 2313012333 2721190980 3084016444 3401488725 3855020555 4535318300 4626024666 6802977450 7710041110 9252049332 11565061665 13605954900 15420082220 19275102775 23130123330 38550205550 46260246660 57825308325 77100411100 115650616650 231301233300