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303213022020 = 223258380925087
BaseRepresentation
bin1000110100110001110…
…01111000101101000100
31001222122102210110100200
410122120321320231010
514431440013201040
6351143311210500
730622621106436
oct4323071705504
91058572713320
10303213022020
111076569342a7
124a921516a30
13227926a967c
1410965b5a656
157d497d0630
hex4698e78b44

303213022020 has 144 divisors (see below), whose sum is σ = 932015185920. Its totient is φ = 79780704768.

The previous prime is 303213021997. The next prime is 303213022039. The reversal of 303213022020 is 20220312303.

It is a happy number.

303213022020 is a `hidden beast` number, since 3 + 0 + 321 + 302 + 20 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 303213021984 and 303213022002.

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, 12073917 + ... + 12099003.

It is an arithmetic number, because the mean of its divisors is an integer number (6472327680).

Almost surely, 2303213022020 is an apocalyptic number.

303213022020 is a gapful number since it is divisible by the number (30) 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 303213022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466007592960).

303213022020 is an abundant number, since it is smaller than the sum of its proper divisors (628802163900).

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

303213022020 is a wasteful number, since it uses less digits than its factorization.

303213022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25994 (or 25989 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 303213022020 its reverse (20220312303), we get a palindrome (323433334323).

The spelling of 303213022020 in words is "three hundred three billion, two hundred thirteen million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 809 830 996 1245 1494 1618 1660 2427 2490 2988 3236 3735 4045 4854 4980 7281 7470 8090 9708 12135 14562 14940 16180 24270 25087 29124 36405 48540 50174 67147 72810 75261 100348 125435 134294 145620 150522 201441 225783 250870 268588 301044 335735 376305 402882 451566 501740 604323 671470 752610 805764 903132 1007205 1128915 1208646 1342940 1505220 2014410 2082221 2257830 2417292 3021615 4028820 4164442 4515660 6043230 6246663 8328884 10411105 12086460 12493326 18739989 20295383 20822210 24986652 31233315 37479978 40590766 41644420 60886149 62466630 74959956 81181532 93699945 101476915 121772298 124933260 182658447 187399890 202953830 243544596 304430745 365316894 374799780 405907660 608861490 730633788 913292235 1217722980 1684516789 1826584470 3369033578 3653168940 5053550367 6738067156 8422583945 10107100734 15160651101 16845167890 20214201468 25267751835 30321302202 33690335780 50535503670 60642604404 75803255505 101071007340 151606511010 303213022020