Search a number
-
+
12314023113431 = 1319323324187403
BaseRepresentation
bin1011001100110001010011…
…1110010011001011010111
31121121012122102222002210002
42303030110332103023113
53103223104404112211
642104552323121515
72410441654310444
oct263142476231327
947535572862702
1012314023113431
113a18391026846
12146a65951329b
136b4290860940
143080052d29cb
151654b177b03b
hexb3314f932d7

12314023113431 has 32 divisors (see below), whose sum is σ = 13442879241792. Its totient is φ = 11212515901440.

The previous prime is 12314023113383. The next prime is 12314023113439. The reversal of 12314023113431 is 13431132041321.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12314023113431 is a prime.

It is a super-2 number, since 2×123140231134312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12314023113394 and 12314023113403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12314023113439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140844176 + ... + 140931578.

It is an arithmetic number, because the mean of its divisors is an integer number (420089976306).

Almost surely, 212314023113431 is an apocalyptic number.

12314023113431 is a deficient number, since it is larger than the sum of its proper divisors (1128856128361).

12314023113431 is a wasteful number, since it uses less digits than its factorization.

12314023113431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88083.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 12314023113431 its reverse (13431132041321), we get a palindrome (25745155154752).

The spelling of 12314023113431 in words is "twelve trillion, three hundred fourteen billion, twenty-three million, one hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 13 193 233 241 2509 3029 3133 44969 46513 56153 87403 584597 604669 729989 1136239 10837529 16868779 20364899 21064123 140887877 219294127 264743687 273833599 3930425507 4065375739 4907940659 51095531591 52849884607 63803228567 947232547187 12314023113431