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211221102011112 = 233217199082434727
BaseRepresentation
bin110000000001101010111110…
…110000010010001011101000
31000200212112120202201122200100
4300001222332300102023220
5210141121304103323422
62025121345032305400
762330135545552344
oct6001527660221350
91020775522648610
10211221102011112
1161335403620766
121b834093842260
1390b20ab7b2bbb
143a23227a66624
15196452b56a7ac
hexc01abec122e8

211221102011112 has 96 divisors (see below), whose sum is σ = 637586917905600. Its totient is φ = 62777788826112.

The previous prime is 211221102011107. The next prime is 211221102011123. The reversal of 211221102011112 is 211110201122112.

It is a happy number.

211221102011112 is a `hidden beast` number, since 211 + 221 + 10 + 201 + 11 + 12 = 666.

It is a super-2 number, since 2×2112211020111122 (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 23 ways as a sum of consecutive naturals, for example, 4541194108 + ... + 4541240619.

It is an arithmetic number, because the mean of its divisors is an integer number (6641530394850).

Almost surely, 2211221102011112 is an apocalyptic number.

It is an amenable number.

211221102011112 is an abundant number, since it is smaller than the sum of its proper divisors (426365815894488).

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

211221102011112 is a wasteful number, since it uses less digits than its factorization.

211221102011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9082434775 (or 9082434768 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211221102011112 its reverse (211110201122112), we get a palindrome (422331303133224).

The spelling of 211221102011112 in words is "two hundred eleven trillion, two hundred twenty-one billion, one hundred two million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 34 36 38 51 57 68 72 76 102 114 136 152 153 171 204 228 306 323 342 408 456 612 646 684 969 1224 1292 1368 1938 2584 2907 3876 5814 7752 11628 23256 9082434727 18164869454 27247304181 36329738908 54494608362 72659477816 81741912543 108989216724 154401390359 163483825086 172566259813 217978433448 308802780718 326967650172 345132519626 463204171077 517698779439 617605561436 653935300344 690265039252 926408342154 1035397558878 1235211122872 1380530078504 1389612513231 1553096338317 1852816684308 2070795117756 2779225026462 2933626416821 3106192676634 3705633368616 4141590235512 5558450052924 5867252833642 6212385353268 8800879250463 11116900105848 11734505667284 12424770706536 17601758500926 23469011334568 26402637751389 35203517001852 52805275502778 70407034003704 105610551005556 211221102011112