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211242314344 = 23297125215087
BaseRepresentation
bin1100010010111100000…
…1011110101001101000
3202012020211200102112011
43010233001132221220
511430111013024334
6241013211525304
721155532021445
oct3045701365150
9665224612464
10211242314344
1181650863386
1234b34759834
1316bc64c7b99
14a31d22a9cc
15576542a564
hex312f05ea68

211242314344 has 64 divisors (see below), whose sum is σ = 415754726400. Its totient is φ = 100483084800.

The previous prime is 211242314333. The next prime is 211242314399. The reversal of 211242314344 is 443413242112.

It is a happy number.

211242314344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 41523369 + ... + 41528455.

It is an arithmetic number, because the mean of its divisors is an integer number (6496167600).

Almost surely, 2211242314344 is an apocalyptic number.

It is an amenable number.

211242314344 is a deficient number, since it is larger than the sum of its proper divisors (204512412056).

211242314344 is a wasteful number, since it uses less digits than its factorization.

211242314344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7714 (or 7710 counting only the distinct ones).

The product of its digits is 18432, while the sum is 31.

Adding to 211242314344 its reverse (443413242112), we get a palindrome (654655556456).

The spelling of 211242314344 in words is "two hundred eleven billion, two hundred forty-two million, three hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 29 58 71 116 142 232 284 568 2059 2521 4118 5042 5087 8236 10084 10174 16472 20168 20348 40696 73109 146218 147523 178991 292436 295046 357982 361177 584872 590092 715964 722354 1180184 1431928 1444708 2889416 5190739 10381478 10474133 12824327 20762956 20948266 25648654 41525912 41896532 51297308 83793064 102594616 371905483 743810966 910527217 1487621932 1821054434 2975243864 3642108868 7284217736 26405289293 52810578586 105621157172 211242314344