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231313003300 = 225223793733413
BaseRepresentation
bin1101011101101101010…
…1000101001100100100
3211010001121020001210101
43113123111011030210
512242212112101200
6254132544233444
722466103041551
oct3273325051444
9733047201711
10231313003300
118a110184025
12389b630b884
1318a74722ab2
14b2a4a73a28
15603c4ab26a
hex35db545324

231313003300 has 144 divisors (see below), whose sum is σ = 531980951040. Its totient is φ = 87122280960.

The previous prime is 231313003261. The next prime is 231313003303. The reversal of 231313003300 is 3300313132.

231313003300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (231313003303) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 67772394 + ... + 67775806.

It is an arithmetic number, because the mean of its divisors is an integer number (3694312160).

Almost surely, 2231313003300 is an apocalyptic number.

231313003300 is a gapful number since it is divisible by the number (20) 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 231313003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265990475520).

231313003300 is an abundant number, since it is smaller than the sum of its proper divisors (300667947740).

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

231313003300 is a wasteful number, since it uses less digits than its factorization.

231313003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3902 (or 3895 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 231313003300 its reverse (3300313132), we get a palindrome (234613316432).

The spelling of 231313003300 in words is "two hundred thirty-one billion, three hundred thirteen million, three thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 79 92 100 115 158 230 316 373 395 460 575 746 790 1150 1492 1580 1817 1865 1975 2300 3413 3634 3730 3950 6826 7268 7460 7900 8579 9085 9325 13652 17065 17158 18170 18650 29467 34130 34316 36340 37300 42895 45425 58934 68260 78499 85325 85790 90850 117868 147335 156998 170650 171580 181700 214475 269627 294670 313996 341300 392495 428950 539254 589340 677741 736675 784990 857900 1078508 1273049 1348135 1355482 1473350 1569980 1962475 2546098 2696270 2710964 2946700 3388705 3924950 5092196 5392540 6201421 6365245 6740675 6777410 7849900 12402842 12730490 13481350 13554820 16943525 24805684 25460980 26962700 29280127 31007105 31826225 33887050 58560254 62014210 63652450 67774100 100570871 117120508 124028420 127304900 146400635 155035525 201141742 292801270 310071050 402283484 502854355 585602540 620142100 732003175 1005708710 1464006350 2011417420 2313130033 2514271775 2928012700 4626260066 5028543550 9252520132 10057087100 11565650165 23131300330 46262600660 57828250825 115656501650 231313003300