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211221210001020 = 223542715147160141
BaseRepresentation
bin110000000001101011000101…
…001100001110111001111100
31000200212112212021221002222120
4300001223011030032321330
5210141122014230013040
62025121403451042540
762330141326502622
oct6001530514167174
91020775767832876
10211221210001020
116133545957a11a
121b834103a40450
1390b20c7c9335b
143a23238137512
151964535c9c7d0
hexc01ac530ee7c

211221210001020 has 96 divisors (see below), whose sum is σ = 591676488539136. Its totient is φ = 56301175660800.

The previous prime is 211221210001003. The next prime is 211221210001033. The reversal of 211221210001020 is 20100012122112.

It is a super-2 number, since 2×2112212100010202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 1318890150 + ... + 1319050290.

It is an arithmetic number, because the mean of its divisors is an integer number (6163296755616).

Almost surely, 2211221210001020 is an apocalyptic number.

211221210001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221210001020 is an abundant number, since it is smaller than the sum of its proper divisors (380455278538116).

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

211221210001020 is a wasteful number, since it uses less digits than its factorization.

211221210001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169571 (or 169569 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211221210001020 its reverse (20100012122112), we get a palindrome (231321222123132).

The spelling of 211221210001020 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred ten million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 4271 5147 8542 10294 12813 15441 17084 20588 21355 25626 25735 30882 42710 51252 51470 61764 64065 77205 85420 102940 128130 154410 160141 256260 308820 320282 480423 640564 800705 960846 1601410 1921692 2402115 3202820 4804230 9608460 21982837 43965674 65948511 87931348 109914185 131897022 219828370 263794044 329742555 439656740 659485110 683962211 824245727 1318970220 1367924422 1648491454 2051886633 2472737181 2735848844 3296982908 3419811055 4103773266 4121228635 4945474362 6839622110 8207546532 8242457270 9890948724 10259433165 12363685905 13679244220 16484914540 20518866330 24727371810 41037732660 49454743620 3520353500017 7040707000034 10561060500051 14081414000068 17601767500085 21122121000102 35203535000170 42244242000204 52805302500255 70407070000340 105610605000510 211221210001020