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211222002211002 = 23453244710053431
BaseRepresentation
bin110000000001101011110100…
…011010010001100010111010
31000200212121220111121112210000
4300001223310122101202322
5210141130130031223002
62025122014230533430
762330200056252666
oct6001536432214272
91020777814545700
10211222002211002
116133582577a212
121b8342a5207276
1390b21c3149563
143a232b14358a6
1519645805d661c
hexc01af46918ba

211222002211002 has 80 divisors (see below), whose sum is σ = 482420931708672. Its totient is φ = 69050656902240.

The previous prime is 211222002210931. The next prime is 211222002211013. The reversal of 211222002211002 is 200112200222112.

It is a happy number.

211222002211002 is a `hidden beast` number, since 21 + 122 + 200 + 221 + 100 + 2 = 666.

It is a super-2 number, since 2×2112220022110022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15983227 + ... + 26036657.

Almost surely, 2211222002211002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211222002211002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241210465854336).

211222002211002 is an abundant number, since it is smaller than the sum of its proper divisors (271198929497670).

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

211222002211002 is a wasteful number, since it uses less digits than its factorization.

211222002211002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10055945 (or 10055936 counting only the distinct ones).

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

Adding to 211222002211002 its reverse (200112200222112), we get a palindrome (411334202433114).

The spelling of 211222002211002 in words is "two hundred eleven trillion, two hundred twenty-two billion, two million, two hundred eleven thousand, two".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 318 477 954 1431 2447 2862 4293 4894 7341 8586 14682 22023 44046 66069 129691 132138 198207 259382 389073 396414 778146 1167219 2334438 3501657 7003314 10053431 10504971 20106862 21009942 30160293 60320586 90480879 180961758 271442637 532831843 542885274 814327911 1065663686 1598495529 1628655822 3196991058 4795486587 9590973174 14386459761 24600745657 28772919522 43159379283 49201491314 73802236971 86318758566 147604473942 221406710913 442813421826 664220132739 1303839519821 1328440265478 1992660398217 2607679039642 3911518559463 3985320796434 7823037118926 11734555678389 23469111356778 35203667035167 70407334070334 105611001105501 211222002211002