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211112101212 = 2232910919328837
BaseRepresentation
bin1100010010011101000…
…0110000010101011100
3202011220202122220200120
43010213100300111130
511424324144214322
6240552240554540
721152361152355
oct3044720602534
9664822586616
10211112101212
1181594306321
1234ab9022a50
1316ba55363ac
14a309c12d2c
155758ca8a5c
hex312743055c

211112101212 has 96 divisors (see below), whose sum is σ = 516938452800. Its totient is φ = 66969649152.

The previous prime is 211112101159. The next prime is 211112101219. The reversal of 211112101212 is 212101211112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 211112101191 and 211112101200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211112101219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7306458 + ... + 7335294.

It is an arithmetic number, because the mean of its divisors is an integer number (5384775550).

Almost surely, 2211112101212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211112101212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258469226400).

211112101212 is an abundant number, since it is smaller than the sum of its proper divisors (305826351588).

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

211112101212 is a wasteful number, since it uses less digits than its factorization.

211112101212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29175 (or 29173 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211112101212 its reverse (212101211112), we get a palindrome (423213312324).

The spelling of 211112101212 in words is "two hundred eleven billion, one hundred twelve million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 109 116 174 193 218 327 348 386 436 579 654 772 1158 1308 2316 3161 5597 6322 9483 11194 12644 16791 18966 21037 22388 28837 33582 37932 42074 57674 63111 67164 84148 86511 115348 126222 173022 252444 346044 610073 836273 1220146 1672546 1830219 2440292 2508819 3143233 3345092 3660438 5017638 5565541 6286466 7320876 9429699 10035276 11131082 12572932 16696623 18859398 22262164 33393246 37718796 66786492 91153757 161400689 182307514 273461271 322801378 364615028 484202067 546922542 606643969 645602756 968404134 1093845084 1213287938 1819931907 1936808268 2426575876 3639863814 7279727628 17592675101 35185350202 52778025303 70370700404 105556050606 211112101212