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211210111210212 = 223217595357973217
BaseRepresentation
bin110000000001100000101111…
…101001101101001011100100
31000200211111012210121010020100
4300001200233221231023210
5210140431301432211322
62025112330253304100
762326266310362132
oct6001405751551344
91020744183533210
10211210111210212
11613307835a6334
121b831b26a95030
1390b104975970a
143a228a40ac752
1519640d66e6dac
hexc0182fa6d2e4

211210111210212 has 72 divisors (see below), whose sum is σ = 565392620474136. Its totient is φ = 66250863673344.

The previous prime is 211210111210211. The next prime is 211210111210213. The reversal of 211210111210212 is 212012111012112.

It is a happy number.

211210111210212 is a `hidden beast` number, since 21 + 1 + 210 + 1 + 11 + 210 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (211210111210211) and next prime (211210111210213).

It can be written as a sum of positive squares in 4 ways, for example, as 22422346330176 + 188787764880036 = 4735224^2 + 13740006^2 .

It is a super-2 number, since 2×2112101112102122 (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 not an unprimeable number, because it can be changed into a prime (211210111210211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25343373 + ... + 32629844.

It is an arithmetic number, because the mean of its divisors is an integer number (7852675284363).

Almost surely, 2211210111210212 is an apocalyptic number.

It is an amenable number.

211210111210212 is an abundant number, since it is smaller than the sum of its proper divisors (354182509263924).

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

211210111210212 is a wasteful number, since it uses less digits than its factorization.

211210111210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57979197 (or 57979192 counting only the distinct ones).

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

Adding to 211210111210212 its reverse (212012111012112), we get a palindrome (423222222222324).

The spelling of 211210111210212 in words is "two hundred eleven trillion, two hundred ten billion, one hundred eleven million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 5953 11906 17859 23812 35718 53577 71436 101201 107154 202402 214308 303603 404804 607206 910809 1214412 1821618 3643236 57973217 115946434 173919651 231892868 347839302 521758953 695678604 985544689 1043517906 1971089378 2087035812 2956634067 3942178756 5913268134 8869902201 11826536268 17739804402 35479608804 345114560801 690229121602 1035343682403 1380458243204 2070687364806 3106031047209 4141374729612 5866947533617 6212062094418 11733895067234 12424124188836 17600842600851 23467790134468 35201685201702 52802527802553 70403370403404 105605055605106 211210111210212