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212431141120311 = 3315750113503449
BaseRepresentation
bin110000010011010001111010…
…101101001010100100110111
31000212011012220110210100112000
4300103101322231022210313
5210320432434111322221
62031445304034030343
762513433465355341
oct6023217255124467
91025135813710460
10212431141120311
11617615a5104113
121b9aa6b34183b3
13916c22abcc2b9
143a65a175b4291
151985c4c78be26
hexc1347ab4a937

212431141120311 has 16 divisors (see below), whose sum is σ = 316717341804000. Its totient is φ = 140718717681984.

The previous prime is 212431141120309. The next prime is 212431141120321. The reversal of 212431141120311 is 113021141134212.

212431141120311 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 31 + 1 + 411 + 203 + 11 = 666.

212431141120311 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212431141120311 - 21 = 212431141120309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212431141120321) 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, 25056747486 + ... + 25056755963.

It is an arithmetic number, because the mean of its divisors is an integer number (19794833862750).

Almost surely, 2212431141120311 is an apocalyptic number.

212431141120311 is a deficient number, since it is larger than the sum of its proper divisors (104286200683689).

212431141120311 is a wasteful number, since it uses less digits than its factorization.

212431141120311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50113503615 (or 50113503609 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 212431141120311 its reverse (113021141134212), we get a palindrome (325452282254523).

The spelling of 212431141120311 in words is "two hundred twelve trillion, four hundred thirty-one billion, one hundred forty-one million, one hundred twenty thousand, three hundred eleven".

Divisors: 1 3 9 27 157 471 1413 4239 50113503449 150340510347 451021531041 1353064593123 7867820041493 23603460124479 70810380373437 212431141120311