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303300130123100 = 2252111995872360417
BaseRepresentation
bin100010011110110011001000…
…0100001000010110101011100
31110202220012122112222211101102
41010331212100201002311130
5304223232131302414400
62553022053425532232
7120612465652622255
oct10475462041026534
91422805575884342
10303300130123100
1188705954488950
122a02571baa4078
13100311059c3126
1454c7b39c63b2c
15250e7ebdb69d5
hex113d990842d5c

303300130123100 has 144 divisors (see below), whose sum is σ = 722831748307200. Its totient is φ = 109549739059200.

The previous prime is 303300130123027. The next prime is 303300130123163. The reversal of 303300130123100 is 1321031003303.

It is a super-2 number, since 2×3033001301231002 (a number of 30 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 127314092 + ... + 129674508.

It is an arithmetic number, because the mean of its divisors is an integer number (5019664918800).

Almost surely, 2303300130123100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303300130123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361415874153600).

303300130123100 is an abundant number, since it is smaller than the sum of its proper divisors (419531618184100).

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

303300130123100 is a wasteful number, since it uses less digits than its factorization.

303300130123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361228 (or 2361221 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 303300130123100 its reverse (1321031003303), we get a palindrome (304621161126403).

The spelling of 303300130123100 in words is "three hundred three trillion, three hundred billion, one hundred thirty million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 199 220 275 398 550 587 796 995 1100 1174 1990 2189 2348 2935 3980 4378 4975 5870 6457 8756 9950 10945 11740 12914 14675 19900 21890 25828 29350 32285 43780 54725 58700 64570 109450 116813 129140 161425 218900 233626 322850 467252 584065 645700 1168130 1284943 2336260 2360417 2569886 2920325 4720834 5139772 5840650 6424715 9441668 11681300 11802085 12849430 23604170 25698860 25964587 32123575 47208340 51929174 59010425 64247150 103858348 118020850 128494300 129822935 236041700 259645870 469722983 519291740 649114675 939445966 1298229350 1385564779 1878891932 2348614915 2596458700 2771129558 4697229830 5166952813 5542259116 6927823895 9394459660 10333905626 11743074575 13855647790 15241212569 20667811252 23486149150 25834764065 27711295580 30482425138 34639119475 46972298300 51669528130 60964850276 69278238950 76206062845 103339056260 129173820325 138556477900 152412125690 258347640650 275727391021 304824251380 381030314225 516695281300 551454782042 762060628450 1102909564084 1378636955105 1524121256900 2757273910210 3033001301231 5514547820420 6066002602462 6893184775525 12132005204924 13786369551050 15165006506155 27572739102100 30330013012310 60660026024620 75825032530775 151650065061550 303300130123100