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13300403020420 = 22517235910975843
BaseRepresentation
bin1100000110001011110111…
…0011000010001010000100
31202002111122221210010002211
43001202331303002022010
53220403211133123140
644142042031513204
72541631246215505
oct301427563021204
952074587703084
1013300403020420
11426873a84521a
1215a985a088804
137562b8145339
1433da588b6bac
15180e924042ea
hexc18bdcc2284

13300403020420 has 144 divisors (see below), whose sum is σ = 29785350430080. Its totient is φ = 4987857350656.

The previous prime is 13300403020417. The next prime is 13300403020427. The reversal of 13300403020420 is 2402030400331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13300403020391 and 13300403020400.

It is not an unprimeable number, because it can be changed into a prime (13300403020427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2276294019 + ... + 2276299861.

It is an arithmetic number, because the mean of its divisors is an integer number (206842711320).

Almost surely, 213300403020420 is an apocalyptic number.

13300403020420 is a gapful number since it is divisible by the number (10) 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 13300403020420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14892675215040).

13300403020420 is an abundant number, since it is smaller than the sum of its proper divisors (16484947409660).

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

13300403020420 is a wasteful number, since it uses less digits than its factorization.

13300403020420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7342 (or 7323 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 13300403020420 its reverse (2402030400331), we get a palindrome (15702433420751).

The spelling of 13300403020420 in words is "thirteen trillion, three hundred billion, four hundred three million, twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 359 578 718 1097 1156 1436 1445 1795 2194 2890 3590 4388 5485 5780 5843 6103 7180 10970 11686 12206 18649 21940 23372 24412 29215 30515 37298 58430 61030 74596 93245 99331 103751 116860 122060 186490 198662 207502 317033 372980 393823 397324 415004 496655 518755 634066 787646 993310 1037510 1268132 1575292 1585165 1688627 1969115 1986620 2075020 2097637 3170330 3377254 3938230 4195274 6340660 6409771 6694991 6754508 7876460 8390548 8443135 10488185 12819542 13389982 16886270 20976370 25639084 26779964 32048855 33474955 33772540 35659829 41952740 64097710 66949910 71319658 108966107 113814847 128195420 133899820 142639316 178299145 217932214 227629694 356598290 435864428 455259388 544830535 569074235 606217093 713196580 1089661070 1138148470 1212434186 1852423819 2179322140 2276296940 2301107789 2424868372 3031085465 3704847638 4602215578 6062170930 7409695276 9204431156 9262119095 11505538945 12124341860 18524238190 23011077890 37048476380 39118832413 46022155780 78237664826 156475329652 195594162065 391188324130 665020151021 782376648260 1330040302042 2660080604084 3325100755105 6650201510210 13300403020420