Search a number
-
+
12312323031331 = 195967181905693
BaseRepresentation
bin1011001100101010111110…
…1001000000000100100011
31121121001020221221222120101
42303022233221000010203
53103211114144000311
642104111512323231
72410351561664041
oct263125751000443
947531227858511
1012312323031331
113a17699407a14
12146a2640a3517
136b407c585bbb
14307cc35c9391
151654123acec1
hexb32afa40123

12312323031331 has 32 divisors (see below), whose sum is σ = 13450642732800. Its totient is φ = 11233044282240.

The previous prime is 12312323031259. The next prime is 12312323031413. The reversal of 12312323031331 is 13313032321321.

It is a happy number.

It is not a de Polignac number, because 12312323031331 - 217 = 12312322900259 is a prime.

It is a super-2 number, since 2×123123230313312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12312323031331.

It is not an unprimeable number, because it can be changed into a prime (12312323001331) 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 31 ways as a sum of consecutive naturals, for example, 13141521 + ... + 14047213.

It is an arithmetic number, because the mean of its divisors is an integer number (420332585400).

Almost surely, 212312323031331 is an apocalyptic number.

12312323031331 is a deficient number, since it is larger than the sum of its proper divisors (1138319701469).

12312323031331 is a wasteful number, since it uses less digits than its factorization.

12312323031331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906019.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 12312323031331 its reverse (13313032321321), we get a palindrome (25625355352652).

The spelling of 12312323031331 in words is "twelve trillion, three hundred twelve billion, three hundred twenty-three million, thirty-one thousand, three hundred thirty-one".

Divisors: 1 19 59 67 181 1121 1273 3439 3953 10679 12127 75107 202901 230413 715493 905693 13594367 17208167 53435887 60681431 163930433 1015281853 1152947189 3114678227 3580204429 9671895547 10983339011 68023884151 183766015393 208683441209 648017001649 12312323031331