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12131110031 = 29934344773
BaseRepresentation
bin10110100110001001…
…00000110010001111
31011022102211020111112
423103010200302033
5144321031010111
65323431442235
7606422506505
oct132304406217
934272736445
1012131110031
115165771577
12242682637b
1311b437b621
148311ca675
154b001ce8b
hex2d3120c8f

12131110031 has 8 divisors (see below), whose sum is σ = 12551047680. Its totient is φ = 11711280672.

The previous prime is 12131110009. The next prime is 12131110049. The reversal of 12131110031 is 13001113121.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12131110031 is a prime.

It is a super-2 number, since 2×121311100312 (a number of 21 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 = 12131109988 and 12131110015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131110051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248561 + ... + 293333.

It is an arithmetic number, because the mean of its divisors is an integer number (1568880960).

Almost surely, 212131110031 is an apocalyptic number.

12131110031 is a deficient number, since it is larger than the sum of its proper divisors (419937649).

12131110031 is an equidigital number, since it uses as much as digits as its factorization.

12131110031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54145.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 12131110031 its reverse (13001113121), we get a palindrome (25132223152).

The spelling of 12131110031 in words is "twelve billion, one hundred thirty-one million, one hundred ten thousand, thirty-one".

Divisors: 1 29 9343 44773 270947 1298417 418314139 12131110031