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312141141220111 = 72173780149126359
BaseRepresentation
bin100011011111001000000010…
…1110101111001101100001111
31111221012101211211010120002021
41012332100011311321230033
5311403110024123020421
63023511354412311011
7122514311315204200
oct10676200565715417
91457171754116067
10312141141220111
1190504350796a85
122b013064772467
1310522a24c3a358
1457119d74315a7
15261479277a341
hex11be405d79b0f

312141141220111 has 48 divisors (see below), whose sum is σ = 394860872952000. Its totient is φ = 245000633084928.

The previous prime is 312141141220067. The next prime is 312141141220171. The reversal of 312141141220111 is 111022141141213.

It is not a de Polignac number, because 312141141220111 - 241 = 309942117964559 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312141141220171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2470209150 + ... + 2470335508.

It is an arithmetic number, because the mean of its divisors is an integer number (8226268186500).

Almost surely, 2312141141220111 is an apocalyptic number.

312141141220111 is a deficient number, since it is larger than the sum of its proper divisors (82719731731889).

312141141220111 is a wasteful number, since it uses less digits than its factorization.

312141141220111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206576 (or 206569 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 25.

Adding to 312141141220111 its reverse (111022141141213), we get a palindrome (423163282361324).

The spelling of 312141141220111 in words is "three hundred twelve trillion, one hundred forty-one billion, one hundred forty-one million, two hundred twenty thousand, one hundred eleven".

Divisors: 1 7 17 37 49 119 259 629 833 1813 4403 30821 80149 126359 561043 884513 1362533 2148103 2965513 3927301 4675283 6191591 9537731 15036721 20758591 32726981 50413721 66764117 79479811 105257047 145310137 229088867 352896047 556358677 2470272329 3894510739 10127547491 70892832437 172168307347 374719257167 496249827059 1205178151429 2623034800169 6370227371839 8436247060003 18361243601183 44591591602873 312141141220111