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12034123131031 = 172939761486111
BaseRepresentation
bin1010111100011110100110…
…1000100110100010010111
31120121110011201202202122021
42233013221220212202113
53034131341010143111
641332222211114011
72351302534566361
oct257075150464227
946543151682567
1012034123131031
11391a708862241
1214243635a2907
13693a75058491
142d865186dd31
1515d07d9e2d71
hexaf1e9a26897

12034123131031 has 16 divisors (see below), whose sum is σ = 13214595191040. Its totient is φ = 10908127802880.

The previous prime is 12034123131011. The next prime is 12034123131061. The reversal of 12034123131031 is 13013132143021.

It is not a de Polignac number, because 12034123131031 - 27 = 12034123130903 is a prime.

It is a super-2 number, since 2×120341231310312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12034123130987 and 12034123131005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12034123131001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30547335 + ... + 30938776.

It is an arithmetic number, because the mean of its divisors is an integer number (825912199440).

Almost surely, 212034123131031 is an apocalyptic number.

12034123131031 is a deficient number, since it is larger than the sum of its proper divisors (1180472060009).

12034123131031 is a wasteful number, since it uses less digits than its factorization.

12034123131031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61486554.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 12034123131031 its reverse (13013132143021), we get a palindrome (25047255274052).

The spelling of 12034123131031 in words is "twelve trillion, thirty-four billion, one hundred twenty-three million, one hundred thirty-one thousand, thirty-one".

Divisors: 1 17 29 397 493 6749 11513 195721 61486111 1045263887 1783097219 24409986067 30312652723 414969763139 707889595943 12034123131031