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12003314131 = 169320813407
BaseRepresentation
bin10110010110111010…
…00000100111010011
31010222112100112111001
423023131000213103
5144040322023011
65303024402431
7603311325634
oct131335004723
933875315431
1012003314131
1150aa615626
1223aba76417
131193a55153
1481c24188b
154a3bc77c1
hex2cb7409d3

12003314131 has 8 divisors (see below), whose sum is σ = 12019702464. Its totient is φ = 11986940160.

The previous prime is 12003314093. The next prime is 12003314137. The reversal of 12003314131 is 13141330021.

12003314131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 12003314131 - 215 = 12003281363 is a prime.

It is a super-2 number, since 2×120033141312 (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 = 12003314099 and 12003314108.

It is not an unprimeable number, because it can be changed into a prime (12003314137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3521430 + ... + 3524836.

It is an arithmetic number, because the mean of its divisors is an integer number (1502462808).

Almost surely, 212003314131 is an apocalyptic number.

12003314131 is a deficient number, since it is larger than the sum of its proper divisors (16388333).

12003314131 is a wasteful number, since it uses less digits than its factorization.

12003314131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7181.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 12003314131 its reverse (13141330021), we get a palindrome (25144644152).

The spelling of 12003314131 in words is "twelve billion, three million, three hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 1693 2081 3407 3523133 5768051 7089967 12003314131