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212112132312311 = 71159317772614163
BaseRepresentation
bin110000001110101000110100…
…010011001000110011110111
31000211000201111012102211022222
4300032220310103020303313
5210300221121332443221
62031042545100112555
762451411242263460
oct6016506423106367
91024021435384288
10212112132312311
1161649282a36040
121b958903b3575b
13914811bb6ab0a
143a543d3a83d67
15197c7cb3a39ab
hexc0ea344c8cf7

212112132312311 has 32 divisors (see below), whose sum is σ = 265046616350208. Its totient is φ = 164910540810240.

The previous prime is 212112132312307. The next prime is 212112132312323. The reversal of 212112132312311 is 113213231211212.

It is a cyclic number.

It is not a de Polignac number, because 212112132312311 - 22 = 212112132312307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112132302311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79832516 + ... + 82446678.

It is an arithmetic number, because the mean of its divisors is an integer number (8282706760944).

Almost surely, 2212112132312311 is an apocalyptic number.

212112132312311 is a deficient number, since it is larger than the sum of its proper divisors (52934484037897).

212112132312311 is a wasteful number, since it uses less digits than its factorization.

212112132312311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616551.

The product of its digits is 864, while the sum is 26.

Adding to 212112132312311 its reverse (113213231211212), we get a palindrome (325325363523523).

The spelling of 212112132312311 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred thirty-two million, three hundred twelve thousand, three hundred eleven".

Divisors: 1 7 11 77 593 1777 4151 6523 12439 19547 45661 136829 1053761 2614163 7376327 11591371 18299141 28755793 81139597 201290551 1550198659 4645367651 10851390613 17052185249 32517573557 51099044161 119365296743 357693309127 2754703017043 19282921119301 30301733187473 212112132312311