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212411312133041 = 7323222315493389
BaseRepresentation
bin110000010010111111011100…
…110011100101001110110001
31000212002022201120001102122002
4300102333130303211032301
5210320121331401224131
62031432224254023345
762512132220636000
oct6022773463451661
91025068646042562
10212411312133041
116175414a16952a
121b9a689a7a7b55
13916a3baa9c938
143a64a95cc6c37
15198548ba516cb
hexc12fdcce53b1

212411312133041 has 96 divisors (see below), whose sum is σ = 260354169600000. Its totient is φ = 173206896331392.

The previous prime is 212411312133029. The next prime is 212411312133073. The reversal of 212411312133041 is 140331213114212.

It is a de Polignac number, because none of the positive numbers 2k-212411312133041 is a prime.

It is a super-3 number, since 3×2124113121330413 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212411312132995 and 212411312133013.

It is not an unprimeable number, because it can be changed into a prime (212411312133011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62676691175 + ... + 62676694563.

It is an arithmetic number, because the mean of its divisors is an integer number (2712022600000).

Almost surely, 2212411312133041 is an apocalyptic number.

It is an amenable number.

212411312133041 is a deficient number, since it is larger than the sum of its proper divisors (47942857466959).

212411312133041 is a wasteful number, since it uses less digits than its factorization.

212411312133041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5228 (or 5191 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 212411312133041 its reverse (140331213114212), we get a palindrome (352742525247253).

The spelling of 212411312133041 in words is "two hundred twelve trillion, four hundred eleven billion, three hundred twelve million, one hundred thirty-three thousand, forty-one".

Divisors: 1 7 23 49 161 223 343 529 1127 1549 1561 3389 3703 5129 7889 10843 10927 23723 25921 35627 35903 75901 76489 77947 117967 166061 181447 249389 251321 345427 531307 545629 755747 819421 825769 1162427 1745723 1759247 1792781 2417989 3819403 5249561 5290229 5735947 5780383 7944821 12220061 12549467 16925923 17382181 26735821 36746927 37031603 40151629 40462681 55613747 87846269 118481461 120739903 121675267 182730883 257228489 259221221 281061403 389296229 399790163 614923883 845179321 851726869 1170652103 1279116181 1800599423 2725073603 2777017769 2798531141 5916255247 5962088083 8194564721 8953813267 19439124383 19589717987 26924998369 41413786729 57361953047 62676692869 136073870681 137128025909 188474988583 401533671329 619274962487 952517094767 1319324920081 4334924737409 9235274440567 30344473161863 212411312133041