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31313323132 = 22713733117361
BaseRepresentation
bin11101001010011010…
…110110010001111100
32222211021112122000121
4131022122312101330
51003112202320012
622215105104324
72155654566160
oct351232662174
988737478017
1031313323132
1112309611153
12609a9280a4
132c504b6390
141730a36ca0
15c3409ba07
hex74a6b647c

31313323132 has 48 divisors (see below), whose sum is σ = 67536667072. Its totient is φ = 12370682880.

The previous prime is 31313323121. The next prime is 31313323133. The reversal of 31313323132 is 23132331313.

It is a junction number, because it is equal to n+sod(n) for n = 31313323097 and 31313323106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31313323133) 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 15 ways as a sum of consecutive naturals, for example, 208132 + ... + 325492.

Almost surely, 231313323132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31313323132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33768333536).

31313323132 is an abundant number, since it is smaller than the sum of its proper divisors (36223343940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31313323132 is a wasteful number, since it uses less digits than its factorization.

31313323132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118118 (or 118116 counting only the distinct ones).

The product of its digits is 2916, while the sum is 25.

Adding to 31313323132 its reverse (23132331313), we get a palindrome (54445654445).

The spelling of 31313323132 in words is "thirty-one billion, three hundred thirteen million, three hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 733 1466 2932 5131 9529 10262 19058 20524 38116 66703 117361 133406 234722 266812 469444 821527 1525693 1643054 3051386 3286108 6102772 10679851 21359702 42719404 86025613 172051226 344102452 602179291 1118332969 1204358582 2236665938 2408717164 4473331876 7828330783 15656661566 31313323132