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21202212210120 = 23325164333583949
BaseRepresentation
bin1001101001000100001100…
…10100111100010111001000
32210001220121121211112102100
410310202012110330113020
510234334112311210440
6113032054542033400
74315544404140054
oct464420624742710
983056547745370
1021202212210120
116834898063357
122465169b78860
13baa48acb68c6
1453429a4c0c64
1526b7b8da1230
hex13488653c5c8

21202212210120 has 96 divisors (see below), whose sum is σ = 68911402131000. Its totient is φ = 5653577619456.

The previous prime is 21202212210083. The next prime is 21202212210121. The reversal of 21202212210120 is 2101221220212.

It is a happy number.

21202212210120 is a `hidden beast` number, since 2 + 120 + 2 + 212 + 210 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20673226555524 + 528985654596 = 4546782^2 + 727314^2 .

It is a super-3 number, since 3×212022122101203 (a number of 41 digits) contains 333 as substring.

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 = 21202212210093 and 21202212210102.

It is not an unprimeable number, because it can be changed into a prime (21202212210121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4123906 + ... + 7707854.

Almost surely, 221202212210120 is an apocalyptic number.

21202212210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21202212210120 is an abundant number, since it is smaller than the sum of its proper divisors (47709189920880).

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

21202212210120 is a wasteful number, since it uses less digits than its factorization.

21202212210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600399 (or 3600392 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21202212210120 its reverse (2101221220212), we get a palindrome (23303433430332).

The spelling of 21202212210120 in words is "twenty-one trillion, two hundred two billion, two hundred twelve million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 16433 32866 49299 65732 82165 98598 131464 147897 164330 197196 246495 295794 328660 394392 492990 591588 657320 739485 985980 1183176 1478970 1971960 2957940 3583949 5915880 7167898 10751847 14335796 17919745 21503694 28671592 32255541 35839490 43007388 53759235 64511082 71678980 86014776 107518470 129022164 143357960 161277705 215036940 258044328 322555410 430073880 645110820 1290221640 58895033917 117790067834 176685101751 235580135668 294475169585 353370203502 471160271336 530055305253 588950339170 706740407004 883425508755 1060110610506 1177900678340 1413480814008 1766851017510 2120221221012 2355801356680 2650276526265 3533702035020 4240442442024 5300553052530 7067404070040 10601106105060 21202212210120