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212023303041 = 31179831935077
BaseRepresentation
bin1100010101110110010…
…0101101101110000001
3202021021021020202121110
43011131210231232001
511433210431144131
6241222511113533
721214064224434
oct3053544555601
9667237222543
10212023303041
1181a11699790
12351122128a9
1316cbc252684
14a394c4781b
1557adc99646
hex315d92db81

212023303041 has 64 divisors (see below), whose sum is σ = 317764177920. Its totient is φ = 124669808640.

The previous prime is 212023303007. The next prime is 212023303073. The reversal of 212023303041 is 140303320212.

212023303041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212023303041 - 218 = 212023040897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212023302999 and 212023303017.

It is not an unprimeable number, because it can be changed into a prime (212023303441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41758995 + ... + 41764071.

It is an arithmetic number, because the mean of its divisors is an integer number (4965065280).

Almost surely, 2212023303041 is an apocalyptic number.

It is an amenable number.

212023303041 is a deficient number, since it is larger than the sum of its proper divisors (105740874879).

212023303041 is a wasteful number, since it uses less digits than its factorization.

212023303041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5446.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 212023303041 its reverse (140303320212), we get a palindrome (352326623253).

The spelling of 212023303041 in words is "two hundred twelve billion, twenty-three million, three hundred three thousand, forty-one".

Divisors: 1 3 11 33 79 83 193 237 249 579 869 913 2123 2607 2739 5077 6369 6557 15231 15247 16019 19671 45741 48057 55847 72127 167541 167717 176209 216381 401083 421391 503151 528627 979861 1203249 1264173 1265501 2939583 3796503 4411913 4635301 10778471 13235739 13905903 13920511 32335413 33289889 41761533 77409019 81328463 99869667 232227057 243985389 366188779 851499209 894613093 1098566337 2554497627 2683839279 6424948577 19274845731 70674434347 212023303041