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313323132133 = 1124163157253
BaseRepresentation
bin1001000111100111000…
…00111001010011100101
31002221202000202021011101
410203303200321103211
520113141210212013
6355534430040101
731431303452224
oct4436340712345
91087660667141
10313323132133
11110974815700
1250883349031
132371413a34b
1411244782cbb
15823c18d8dd
hex48f38394e5

313323132133 has 12 divisors (see below), whose sum is σ = 352796420844. Its totient is φ = 277891908800.

The previous prime is 313323132121. The next prime is 313323132181. The reversal of 313323132133 is 331231323313.

It can be written as a sum of positive squares in 2 ways, for example, as 38912691169 + 274410440964 = 197263^2 + 523842^2 .

It is not a de Polignac number, because 313323132133 - 213 = 313323123941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313323132103) 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 11 ways as a sum of consecutive naturals, for example, 31573666 + ... + 31583587.

It is an arithmetic number, because the mean of its divisors is an integer number (29399701737).

Almost surely, 2313323132133 is an apocalyptic number.

It is an amenable number.

313323132133 is a deficient number, since it is larger than the sum of its proper divisors (39473288711).

313323132133 is a wasteful number, since it uses less digits than its factorization.

313323132133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63157316 (or 63157305 counting only the distinct ones).

The product of its digits is 8748, while the sum is 28.

Adding to 313323132133 its reverse (331231323313), we get a palindrome (644554455446).

The spelling of 313323132133 in words is "three hundred thirteen billion, three hundred twenty-three million, one hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 11 41 121 451 4961 63157253 694729783 2589447373 7642027613 28483921103 313323132133