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21121220102220 = 22325740487414031
BaseRepresentation
bin1001100110101101010101…
…10100100100100001001100
32202210011120010220011020100
410303112222310210201030
510232022224321232340
6112530542104051100
74306646344444440
oct463265264444114
982704503804210
1021121220102220
116803506133997
122451525a63a90
13ba2951478bc4
145303b5a90820
1526962875e830
hex1335aad2484c

21121220102220 has 144 divisors (see below), whose sum is σ = 73222215026688. Its totient is φ = 4827576551040.

The previous prime is 21121220102207. The next prime is 21121220102221. The reversal of 21121220102220 is 2220102212112.

It is a happy number.

21121220102220 is a `hidden beast` number, since 2 + 1 + 121 + 220 + 102 + 220 = 666.

It is a super-2 number, since 2×211212201022202 (a number of 27 digits) contains 22 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 = 21121220102193 and 21121220102202.

It is not an unprimeable number, because it can be changed into a prime (21121220102221) 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, 50806605 + ... + 51220635.

It is an arithmetic number, because the mean of its divisors is an integer number (508487604352).

Almost surely, 221121220102220 is an apocalyptic number.

21121220102220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121220102220 is an abundant number, since it is smaller than the sum of its proper divisors (52100994924468).

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

21121220102220 is a wasteful number, since it uses less digits than its factorization.

21121220102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454540 (or 454535 counting only the distinct ones).

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

Adding to 21121220102220 its reverse (2220102212112), we get a palindrome (23341322314332).

The spelling of 21121220102220 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred twenty million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 40487 80974 121461 161948 202435 242922 283409 364383 404870 414031 485844 566818 607305 728766 809740 828062 850227 1133636 1214610 1242093 1417045 1457532 1656124 1700454 1821915 2070155 2429220 2484186 2550681 2834090 2898217 3400908 3643830 3726279 4140310 4251135 4968372 5101362 5668180 5796434 6210465 7287660 7452558 8280620 8502270 8694651 10202724 11592868 12420930 12753405 14491085 14905116 17004540 17389302 18631395 24841860 25506810 26083953 28982170 34778604 37262790 43473255 51013620 52167906 57964340 74525580 86946510 104335812 130419765 173893020 260839530 521679060 16762873097 33525746194 50288619291 67051492388 83814365485 100577238582 117340111679 150865857873 167628730970 201154477164 234680223358 251443096455 301731715746 335257461940 352020335037 469360446716 502886192910 586700558395 603463431492 704040670074 754329289365 1005772385820 1056061005111 1173401116790 1408081340148 1508658578730 1760101675185 2112122010222 2346802233580 3017317157460 3520203350370 4224244020444 5280305025555 7040406700740 10560610051110 21121220102220