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21202021012120 = 235131011979203989
BaseRepresentation
bin1001101001000011110101…
…11011100101001010011000
32210001220010022001200001221
410310201322323211022120
510234333214334341440
6113032023552021424
74315536563032354
oct464417273451230
983056108050057
1021202021012120
1168347aa142483
122465115b31874
13baa45a4c1ab0
1453427cd50464
1526b7a71d4d4a
hex13487aee5298

21202021012120 has 128 divisors (see below), whose sum is σ = 51909253704000. Its totient is φ = 7746974668800.

The previous prime is 21202021012057. The next prime is 21202021012163. The reversal of 21202021012120 is 2121012020212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21202021012094 and 21202021012103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103835086 + ... + 104039074.

Almost surely, 221202021012120 is an apocalyptic number.

21202021012120 is a gapful number since it is divisible by the number (20) 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 21202021012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25954626852000).

21202021012120 is an abundant number, since it is smaller than the sum of its proper divisors (30707232691880).

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

21202021012120 is a wasteful number, since it uses less digits than its factorization.

21202021012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206093 (or 206089 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21202021012120 its reverse (2121012020212), we get a palindrome (23323033032332).

The spelling of 21202021012120 in words is "twenty-one trillion, two hundred two billion, twenty-one million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 101 104 130 202 260 404 505 520 808 1010 1313 1979 2020 2626 3958 4040 5252 6565 7916 9895 10504 13130 15832 19790 25727 26260 39580 51454 52520 79160 102908 128635 199879 203989 205816 257270 399758 407978 514540 799516 815956 999395 1019945 1029080 1599032 1631912 1998790 2039890 2598427 2651857 3997580 4079780 5196854 5303714 7995160 8159560 10393708 10607428 12992135 13259285 20602889 20787416 21214856 25984270 26518570 41205778 51968540 53037140 82411556 103014445 103937080 106074280 164823112 206028890 267837557 403694231 412057780 535675114 807388462 824115560 1071350228 1339187785 1614776924 2018471155 2142700456 2678375570 3229553848 4036942310 5248025003 5356751140 8073884620 10496050006 10713502280 16147769240 20992100012 26240125015 40773117331 41984200024 52480250030 81546234662 104960500060 163092469324 203865586655 209921000120 326184938648 407731173310 530050525303 815462346620 1060101050606 1630924693240 2120202101212 2650252626515 4240404202424 5300505253030 10601010506060 21202021012120