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211100002212112 = 241323140931317427
BaseRepresentation
bin101111111111111010001100…
…101001001101100100010000
31000200102222000010002110120121
4233333322030221031210100
5210132130301031241422
62024550000251320024
762315320563342016
oct5777721451154420
91020388003073517
10211100002212112
116129900a979352
121b814717750014
1390a384c7b84c0
143a1b41a6348b6
1519612dec6d8c7
hexbffe8ca4d910

211100002212112 has 80 divisors (see below), whose sum is σ = 459945285367680. Its totient is φ = 93128504426496.

The previous prime is 211100002212083. The next prime is 211100002212173. The reversal of 211100002212112 is 211212200001112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8918058 + ... + 22399369.

It is an arithmetic number, because the mean of its divisors is an integer number (5749316067096).

Almost surely, 2211100002212112 is an apocalyptic number.

It is an amenable number.

211100002212112 is an abundant number, since it is smaller than the sum of its proper divisors (248845283155568).

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

211100002212112 is a wasteful number, since it uses less digits than its factorization.

211100002212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31318880 (or 31318874 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211100002212112 its reverse (211212200001112), we get a palindrome (422312202213224).

The spelling of 211100002212112 in words is "two hundred eleven trillion, one hundred billion, two million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 598 1196 1409 2392 2818 4784 5636 11272 18317 22544 32407 36634 64814 73268 129628 146536 259256 293072 421291 518512 842582 1685164 3370328 6740656 31317427 62634854 125269708 250539416 407126551 501078832 720300821 814253102 1440601642 1628506204 2881203284 3257012408 5762406568 6514024816 9363910673 11524813136 18727821346 37455642692 44126254643 74911285384 88252509286 149822570768 176505018572 353010037144 573641310359 706020074288 1014903856789 1147282620718 2029807713578 2294565241436 4059615427156 4589130482872 8119230854312 9178260965744 13193750138257 16238461708624 26387500276514 52775000553028 105550001106056 211100002212112