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212312200123331 = 71121312119104013
BaseRepresentation
bin110000010001100011001001…
…010001010001001111000011
31000211201211220021022200001122
4300101203021101101033003
5210312010341212421311
62031314513411422455
762502023145516320
oct6021431121211703
91024654807280048
10212312200123331
116171610a002700
121b98b63a2b4a2b
139160c54240349
143a5dd72b77b47
151982ada7700db
hexc118c94513c3

212312200123331 has 24 divisors (see below), whose sum is σ = 266726575497312. Its totient is φ = 165425460710400.

The previous prime is 212312200123313. The next prime is 212312200123333. The reversal of 212312200123331 is 133321002213212.

It is not a de Polignac number, because 212312200123331 - 238 = 212037322216387 is a prime.

It is a super-2 number, since 2×2123122001233312 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212312200123331.

It is not an unprimeable number, because it can be changed into a prime (212312200123333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1561481 + ... + 20665493.

It is an arithmetic number, because the mean of its divisors is an integer number (11113607312388).

Almost surely, 2212312200123331 is an apocalyptic number.

212312200123331 is a deficient number, since it is larger than the sum of its proper divisors (54414375373981).

212312200123331 is a wasteful number, since it uses less digits than its factorization.

212312200123331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19117163 (or 19117152 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 212312200123331 its reverse (133321002213212), we get a palindrome (345633202336543).

The spelling of 212312200123331 in words is "two hundred twelve trillion, three hundred twelve billion, two hundred million, one hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 7 11 77 121 847 13121 91847 144331 1010317 1587641 11113487 19104013 133728091 210144143 1471009001 2311585573 16181099011 250663754573 1754646282011 2757301300303 19301109102121 30330314303333 212312200123331