Search a number
-
+
12131122031023 = 72743733815813
BaseRepresentation
bin1011000010000111111100…
…1110000010100110101111
31120221201112202022102121211
42300201333032002212233
53042224014214443043
641444543250135251
72361305340621232
oct260417716024657
946851482272554
1012131122031023
1139578641464a6
12143b114281527
1369cc62b89aa8
142dd2140bd419
1516085951ca9d
hexb087f3829af

12131122031023 has 8 divisors (see below), whose sum is σ = 12150589677408. Its totient is φ = 12111662026464.

The previous prime is 12131122031011. The next prime is 12131122031159. The reversal of 12131122031023 is 32013022113121.

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-12131122031023 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12131122030985 and 12131122031003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131122041023) 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 7 ways as a sum of consecutive naturals, for example, 1271265 + ... + 5087077.

It is an arithmetic number, because the mean of its divisors is an integer number (1518823709676).

Almost surely, 212131122031023 is an apocalyptic number.

12131122031023 is a deficient number, since it is larger than the sum of its proper divisors (19467646385).

12131122031023 is an equidigital number, since it uses as much as digits as its factorization.

12131122031023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820913.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 12131122031023 its reverse (32013022113121), we get a palindrome (44144144144144).

The spelling of 12131122031023 in words is "twelve trillion, one hundred thirty-one billion, one hundred twenty-two million, thirty-one thousand, twenty-three".

Divisors: 1 727 4373 3179171 3815813 2774096051 16686550249 12131122031023