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220021220002221 = 3211217181158341479
BaseRepresentation
bin110010000001101110101110…
…101010010100100110101101
31001212000211020010021100220100
4302001232232222110212231
5212314311424310032341
62055540204133541313
764226002640360211
oct6201565652244655
91055024203240810
10220021220002221
1164118525828100
12208157054a4839
13959cbb1926141
143c491261c2941
151a683cbd2d3b6
hexc81baea949ad

220021220002221 has 144 divisors (see below), whose sum is σ = 372162672161280. Its totient is φ = 124727066956800.

The previous prime is 220021220002189. The next prime is 220021220002271. The reversal of 220021220002221 is 122200022120022.

220021220002221 is a `hidden beast` number, since 2 + 200 + 21 + 220 + 0 + 0 + 2 + 221 = 666.

220021220002221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220021220002221 - 25 = 220021220002189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220021220002194 and 220021220002203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220021220002271) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5304379560 + ... + 5304421038.

It is an arithmetic number, because the mean of its divisors is an integer number (2584463001120).

Almost surely, 2220021220002221 is an apocalyptic number.

It is an amenable number.

220021220002221 is a deficient number, since it is larger than the sum of its proper divisors (152141452159059).

220021220002221 is a wasteful number, since it uses less digits than its factorization.

220021220002221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43288 (or 43274 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220021220002221 its reverse (122200022120022), we get a palindrome (342221242122243).

The spelling of 220021220002221 in words is "two hundred twenty trillion, twenty-one billion, two hundred twenty million, two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 17 33 51 99 121 153 181 187 363 543 561 1089 1583 1629 1683 1991 2057 3077 4749 5973 6171 9231 14247 17413 17919 18513 21901 26911 27693 33847 41479 52239 65703 80733 101541 124437 156717 191543 197109 242199 286523 296021 304623 372317 373311 456269 574629 705143 859569 888063 1116951 1368807 1723887 2115429 2578707 2664189 3151753 3256231 3350853 4106421 4870891 5018959 6346287 7507699 7756573 9455259 9768693 14612673 15056877 22523097 23269719 28365777 29306079 34669283 43838019 45170631 53579801 65661257 67569291 69809157 82584689 85322303 104007849 127630883 160739403 196983771 247754067 255966909 312023547 382892649 482218209 589377811 590951313 722273827 743262201 767900727 908431579 1116241369 1148677947 1403939713 1768133433 2166821481 2725294737 3348724107 4211819139 5304400299 6500464443 7945012097 8175884211 10046172321 11884687517 12278655059 12635457417 15443336843 23835036291 35654062551 36835965177 46330010529 71505108873 106962187653 110507895531 130731562687 135065205649 138990031587 202039687789 392194688061 405195616947 606119063367 1176584064183 1215586850841 1438047189557 1818357190101 2222436565679 4314141568671 6667309697037 12942424706013 20001929091111 24446802222469 73340406667407 220021220002221