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212312032331 = 73827748471
BaseRepresentation
bin1100010110111011001…
…0001000010001001011
3202022000101112201201212
43011232302020101023
511434303340013311
6241311303403335
721224201333000
oct3055662102113
9668011481655
10212312032331
118204a675333
1235192a5354b
13170370053c9
14a3c13258a7
1557c92cdc8b
hex316ec8844b

212312032331 has 16 divisors (see below), whose sum is σ = 247893926400. Its totient is φ = 181761448680.

The previous prime is 212312032297. The next prime is 212312032333. The reversal of 212312032331 is 133230213212.

It is a de Polignac number, because none of the positive numbers 2k-212312032331 is a prime.

It is a super-2 number, since 2×2123120323312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212312032297 and 212312032306.

It is not an unprimeable number, because it can be changed into a prime (212312032333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90575 + ... + 657896.

It is an arithmetic number, because the mean of its divisors is an integer number (15493370400).

Almost surely, 2212312032331 is an apocalyptic number.

212312032331 is a deficient number, since it is larger than the sum of its proper divisors (35581894069).

212312032331 is an frugal number, since it uses more digits than its factorization.

212312032331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749319 (or 749305 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 212312032331 its reverse (133230213212), we get a palindrome (345542245543).

The spelling of 212312032331 in words is "two hundred twelve billion, three hundred twelve million, thirty-two thousand, three hundred thirty-one".

Divisors: 1 7 49 343 827 5789 40523 283661 748471 5239297 36675079 256725553 618985517 4332898619 30330290333 212312032331