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312101312233 = 2324597128341
BaseRepresentation
bin1001000101010101011…
…00000001011011101001
31002211120212200101100111
410202222230001123221
520103140413442413
6355213302134321
731356106245124
oct4425254013351
91084525611314
10312101312233
111103a8066297
12505a21213a1
132357ac762a9
141116a3b33bb
1581b9c92d3d
hex48aab016e9

312101312233 has 12 divisors (see below), whose sum is σ = 326334433348. Its totient is φ = 298464423840.

The previous prime is 312101312203. The next prime is 312101312269. The reversal of 312101312233 is 332213101213.

It can be written as a sum of positive squares in 2 ways, for example, as 150391166809 + 161710145424 = 387803^2 + 402132^2 .

It is a de Polignac number, because none of the positive numbers 2k-312101312233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312101312203) 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 11 ways as a sum of consecutive naturals, for example, 2367643 + ... + 2495983.

Almost surely, 2312101312233 is an apocalyptic number.

It is an amenable number.

312101312233 is a deficient number, since it is larger than the sum of its proper divisors (14233121115).

312101312233 is a wasteful number, since it uses less digits than its factorization.

312101312233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132984 (or 132961 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 312101312233 its reverse (332213101213), we get a palindrome (644314413446).

The spelling of 312101312233 in words is "three hundred twelve billion, one hundred one million, three hundred twelve thousand, two hundred thirty-three".

Divisors: 1 23 529 4597 105731 128341 2431813 2951843 67892389 589983577 13569622271 312101312233