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230313302300000 = 255510512191373
BaseRepresentation
bin110100010111011111111110…
…100100100001010101100000
31010012110201220000212200220102
4310113133332210201111200
5220141423120342100000
62133500245340201532
766340405222433213
oct6427377644412540
91105421800780812
10230313302300000
1167426360990567
12219b8316b392a8
139b685b342335a
1440c331aa8d77a
151b95e9e28e3d5
hexd177fe921560

230313302300000 has 144 divisors (see below), whose sum is σ = 567289875592944. Its totient is φ = 92037624000000.

The previous prime is 230313302299991. The next prime is 230313302300051. The reversal of 230313302300000 is 3203313032.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104004314 + ... + 106195686.

It is an arithmetic number, because the mean of its divisors is an integer number (3939513024951).

Almost surely, 2230313302300000 is an apocalyptic number.

230313302300000 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 230313302300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283644937796472).

230313302300000 is an abundant number, since it is smaller than the sum of its proper divisors (336976573292944).

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

230313302300000 is an equidigital number, since it uses as much as digits as its factorization.

230313302300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192459 (or 2192431 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 230313302300000 its reverse (3203313032), we get a palindrome (230316505613032).

The spelling of 230313302300000 in words is "two hundred thirty trillion, three hundred thirteen billion, three hundred two million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1051 1250 2000 2102 2500 3125 4000 4204 5000 5255 6250 8408 10000 10510 12500 16816 20000 21020 25000 26275 33632 42040 50000 52550 84080 100000 105100 131375 168160 210200 262750 420400 525500 656875 840800 1051000 1313750 2102000 2191373 2627500 3284375 4204000 4382746 5255000 6568750 8765492 10510000 10956865 13137500 17530984 21020000 21913730 26275000 35061968 43827460 52550000 54784325 70123936 87654920 105100000 109568650 175309840 219137300 273921625 350619680 438274600 547843250 876549200 1095686500 1369608125 1753098400 2191373000 2303133023 2739216250 4382746000 4606266046 5478432500 6848040625 8765492000 9212532092 10956865000 11515665115 13696081250 18425064184 21913730000 23031330230 27392162500 36850128368 43827460000 46062660460 54784325000 57578325575 73700256736 92125320920 109568650000 115156651150 184250641840 219137300000 230313302300 287891627875 368501283680 460626604600 575783255750 921253209200 1151566511500 1439458139375 1842506418400 2303133023000 2878916278750 4606266046000 5757832557500 7197290696875 9212532092000 11515665115000 14394581393750 23031330230000 28789162787500 46062660460000 57578325575000 115156651150000 230313302300000