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313233011031 = 3192289227157
BaseRepresentation
bin1001000111011100010…
…01000111000101010111
31002221111202011122020210
410203232021013011113
520113000122323111
6355521450300503
731426130443413
oct4435611070527
91087452148223
10313233011031
11110928961356
1250859127733
13236cb575255
1411236803d43
1582342db0a6
hex48ee247157

313233011031 has 12 divisors (see below), whose sum is σ = 440782188792. Its totient is φ = 197831374704.

The previous prime is 313233011027. The next prime is 313233011101. The reversal of 313233011031 is 130110332313.

It is not a de Polignac number, because 313233011031 - 22 = 313233011027 is a prime.

It is a super-3 number, since 3×3132330110313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 313233010989 and 313233011007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313233011011) 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, 144612496 + ... + 144614661.

It is an arithmetic number, because the mean of its divisors is an integer number (36731849066).

Almost surely, 2313233011031 is an apocalyptic number.

313233011031 is a deficient number, since it is larger than the sum of its proper divisors (127549177761).

313233011031 is a wasteful number, since it uses less digits than its factorization.

313233011031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289227198 (or 289227179 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 313233011031 its reverse (130110332313), we get a palindrome (443343343344).

The spelling of 313233011031 in words is "three hundred thirteen billion, two hundred thirty-three million, eleven thousand, thirty-one".

Divisors: 1 3 19 57 361 1083 289227157 867681471 5495315983 16485947949 104411003677 313233011031