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212111311113320 = 23541971333362529
BaseRepresentation
bin110000001110101000000011…
…010110100000110001101000
31000211000122100222012121002112
4300032220003112200301220
5210300212431121111240
62031042331403021452
762451352011225353
oct6016500326406150
91024018328177075
10212111311113320
11616489a1436093
121b958714b0a888
13914801a9a4b58
143a5435699b29a
15197c77e240665
hexc0ea035a0c68

212111311113320 has 64 divisors (see below), whose sum is σ = 493930815613200. Its totient is φ = 81921793720320.

The previous prime is 212111311113313. The next prime is 212111311113323. The reversal of 212111311113320 is 23311113111212.

It can be written as a sum of positive squares in 8 ways, for example, as 27996860934436 + 184114450178884 = 5291206^2 + 13568878^2 .

It is not an unprimeable number, because it can be changed into a prime (212111311113323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 666522185 + ... + 666840344.

Almost surely, 2212111311113320 is an apocalyptic number.

212111311113320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212111311113320 is an abundant number, since it is smaller than the sum of its proper divisors (281819504499880).

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

212111311113320 is a wasteful number, since it uses less digits than its factorization.

212111311113320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333362678 (or 1333362674 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 23.

Adding to 212111311113320 its reverse (23311113111212), we get a palindrome (235422424224532).

The spelling of 212111311113320 in words is "two hundred twelve trillion, one hundred eleven billion, three hundred eleven million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 97 164 194 205 328 388 410 485 776 820 970 1640 1940 3880 3977 7954 15908 19885 31816 39770 79540 159080 1333362529 2666725058 5333450116 6666812645 10666900232 13333625290 26667250580 53334501160 54667863689 109335727378 129336165313 218671454756 258672330626 273339318445 437342909512 517344661252 546678636890 646680826565 1034689322504 1093357273780 1293361653130 2186714547560 2586723306260 5173446612520 5302782777833 10605565555666 21211131111332 26513913889165 42422262222664 53027827778330 106055655556660 212111311113320