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21003322303120 = 2457929311113381
BaseRepresentation
bin1001100011010001101111…
…00100001010001010010000
32202100220020122101102020111
410301220313210022022100
510223104301002144440
6112400443145051104
74265303622623563
oct461506744121220
982326218342214
1021003322303120
116768505980493
122432702186a94
13b947b29703c1
145287cda084da
152665281084ea
hex131a3790a290

21003322303120 has 80 divisors (see below), whose sum is σ = 49452983377920. Its totient is φ = 8294626828800.

The previous prime is 21003322303111. The next prime is 21003322303147. The reversal of 21003322303120 is 2130322330012.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×210033223031202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21003322303091 and 21003322303100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185188830 + ... + 185302210.

It is an arithmetic number, because the mean of its divisors is an integer number (618162292224).

Almost surely, 221003322303120 is an apocalyptic number.

21003322303120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21003322303120 is an abundant number, since it is smaller than the sum of its proper divisors (28449661074800).

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

21003322303120 is a wasteful number, since it uses less digits than its factorization.

21003322303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142784 (or 142778 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 21003322303120 its reverse (2130322330012), we get a palindrome (23133644633132).

The spelling of 21003322303120 in words is "twenty-one trillion, three billion, three hundred twenty-two million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 1264 1580 3160 6320 29311 58622 113381 117244 146555 226762 234488 293110 453524 468976 566905 586220 907048 1133810 1172440 1814096 2267620 2315569 2344880 4535240 4631138 8957099 9070480 9262276 11577845 17914198 18524552 23155690 35828396 37049104 44785495 46311380 71656792 89570990 92622760 143313584 179141980 185245520 358283960 716567920 3323310491 6646620982 13293241964 16616552455 26586483928 33233104910 53172967856 66466209820 132932419640 262541528789 265864839280 525083057578 1050166115156 1312707643945 2100332230312 2625415287890 4200664460624 5250830575780 10501661151560 21003322303120