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21021021222120 = 2334523282085631
BaseRepresentation
bin1001100011110010101101…
…00000001011010011101000
32202102120221010000122210000
410301321112200023103220
510223402022413101440
6112412531314223000
74266501334144533
oct461712640132350
982376833018700
1021021021222120
116774a68510277
122436021584a60
13b963736b4b3a
145295cc45da1a
15266c11d3c730
hex131e5680b4e8

21021021222120 has 160 divisors (see below), whose sum is σ = 73725900779520. Its totient is φ = 5361883655040.

The previous prime is 21021021222083. The next prime is 21021021222121. The reversal of 21021021222120 is 2122212012012.

It is a happy number.

21021021222120 is a `hidden beast` number, since 2 + 1 + 0 + 210 + 212 + 221 + 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 = 21021021222093 and 21021021222102.

It is not an unprimeable number, because it can be changed into a prime (21021021222121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 140968296 + ... + 141117335.

It is an arithmetic number, because the mean of its divisors is an integer number (460786879872).

Almost surely, 221021021222120 is an apocalyptic number.

21021021222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21021021222120 is an abundant number, since it is smaller than the sum of its proper divisors (52704879557400).

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

21021021222120 is a wasteful number, since it uses less digits than its factorization.

21021021222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282085677 (or 282085664 counting only the distinct ones).

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

Adding to 21021021222120 its reverse (2122212012012), we get a palindrome (23143233234132).

The spelling of 21021021222120 in words is "twenty-one trillion, twenty-one billion, twenty-one million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 81 90 92 108 115 120 135 138 162 180 184 207 216 230 270 276 324 345 360 405 414 460 540 552 621 648 690 810 828 920 1035 1080 1242 1380 1620 1656 1863 2070 2484 2760 3105 3240 3726 4140 4968 6210 7452 8280 9315 12420 14904 18630 24840 37260 74520 282085631 564171262 846256893 1128342524 1410428155 1692513786 2256685048 2538770679 2820856310 3385027572 4231284465 5077541358 5641712620 6487969513 6770055144 7616312037 8462568930 10155082716 11283425240 12693853395 12975939026 15232624074 16925137860 19463908539 20310165432 22848936111 25387706790 25951878052 30465248148 32439847565 33850275720 38081560185 38927817078 45697872222 50775413580 51903756104 58391725617 60930496296 64879695130 76163120370 77855634156 91395744444 97319542695 101550827160 114244680555 116783451234 129759390260 152326240740 155711268312 175175176851 182791488888 194639085390 228489361110 233566902468 259518780520 291958628085 304652481480 350350353702 389278170780 456978722220 467133804936 525525530553 583917256170 700700707404 778556341560 875875884255 913957444440 1051051061106 1167834512340 1401401414808 1751751768510 2102102122212 2335669024680 2627627652765 3503503537020 4204204244424 5255255305530 7007007074040 10510510611060 21021021222120