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211020210212 = 2271012412691151
BaseRepresentation
bin1100010010000111001…
…0001110000000100100
3202011200100202100221012
43010201302032000210
511424132133211322
6240535155241352
721150164122520
oct3044162160044
9664610670835
10211020210212
1181547453249
1234a922a9258
1316b8c4a1816
14a2db932d80
155750ba6ae2
hex3121c8e024

211020210212 has 96 divisors (see below), whose sum is σ = 429951836160. Its totient is φ = 88761600000.

The previous prime is 211020210211. The next prime is 211020210221. The reversal of 211020210212 is 212012020112.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (211020210211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183335837 + ... + 183336987.

It is an arithmetic number, because the mean of its divisors is an integer number (4478664960).

Almost surely, 2211020210212 is an apocalyptic number.

It is an amenable number.

211020210212 is an abundant number, since it is smaller than the sum of its proper divisors (218931625948).

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

211020210212 is a wasteful number, since it uses less digits than its factorization.

211020210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211020210212 its reverse (212012020112), we get a palindrome (423032230324).

The spelling of 211020210212 in words is "two hundred eleven billion, twenty million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 101 202 241 269 404 482 538 707 964 1076 1151 1414 1687 1883 2302 2828 3374 3766 4604 6748 7532 8057 16114 24341 27169 32228 48682 54338 64829 97364 108676 116251 129658 170387 190183 232502 259316 277391 309619 340774 380366 453803 465004 554782 619238 681548 760732 813757 907606 1109564 1238476 1627514 1815212 1941737 2167333 3255028 3883474 4334666 6547729 7766948 8669332 13095458 26190916 28016491 31271519 45834103 56032982 62543038 74618179 91668206 112065964 125086076 149236358 183336412 196115437 218900633 298472716 392230874 437801266 522327253 784461748 875602532 1044654506 2089309012 7536436079 15072872158 30145744316 52755052553 105510105106 211020210212