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212330023321311 = 32712522126914957
BaseRepresentation
bin110000010001110011101111…
…100111010111111011011111
31000211210112220101210221022100
4300101303233213113323133
5210312303341432240221
62031331022140420143
762503223626302540
oct6021635747277337
91024715811727270
10212330023321311
1161722725807095
121b992b93247653
13916283494953c
143a60b83d004c7
1519832d0352926
hexc11cef9d7edf

212330023321311 has 24 divisors (see below), whose sum is σ = 350515866550304. Its totient is φ = 121330468451520.

The previous prime is 212330023321271. The next prime is 212330023321333. The reversal of 212330023321311 is 113123320033212.

212330023321311 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 3 + 0 + 0 + 23 + 321 + 311 = 666.

It is not a de Polignac number, because 212330023321311 - 233 = 212321433386719 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212330023321111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5568556 + ... + 21346401.

Almost surely, 2212330023321311 is an apocalyptic number.

212330023321311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212330023321311 is a deficient number, since it is larger than the sum of its proper divisors (138185843228993).

212330023321311 is a wasteful number, since it uses less digits than its factorization.

212330023321311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27040191 (or 27040188 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 212330023321311 its reverse (113123320033212), we get a palindrome (325453343354523).

The spelling of 212330023321311 in words is "two hundred twelve trillion, three hundred thirty billion, twenty-three million, three hundred twenty-one thousand, three hundred eleven".

Divisors: 1 3 7 9 21 63 125221 375663 876547 1126989 2629641 7888923 26914957 80744871 188404699 242234613 565214097 1695642291 3370317830497 10110953491491 23592224813479 30332860474473 70776674440437 212330023321311