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12331032110001 = 35112419380067
BaseRepresentation
bin1011001101110000101011…
…0010011110001110110001
31121122211112211101122200000
42303130022302132032301
53104012423210010001
642120444205020213
72411613320351643
oct263341262361661
947584484348600
1012331032110001
113a2461a17a700
121471a05854669
136b5a71683c57
14308b7a274893
15165b59b2da86
hexb370ac9e3b1

12331032110001 has 36 divisors (see below), whose sum is σ = 20303027852016. Its totient is φ = 7473352776120.

The previous prime is 12331032109999. The next prime is 12331032110003. The reversal of 12331032110001 is 10001123013321.

12331032110001 is a `hidden beast` number, since 1 + 2 + 331 + 0 + 321 + 10 + 0 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (12331032109999) and next prime (12331032110003).

It is not a de Polignac number, because 12331032110001 - 21 = 12331032109999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12331032110003) 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 35 ways as a sum of consecutive naturals, for example, 209660631 + ... + 209719436.

Almost surely, 212331032110001 is an apocalyptic number.

12331032110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12331032110001 is a deficient number, since it is larger than the sum of its proper divisors (7971995742015).

12331032110001 is an equidigital number, since it uses as much as digits as its factorization.

12331032110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419380104 (or 419380081 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12331032110001 its reverse (10001123013321), we get a palindrome (22332155123322).

The spelling of 12331032110001 in words is "twelve trillion, three hundred thirty-one billion, thirty-two million, one hundred ten thousand, one".

Divisors: 1 3 9 11 27 33 81 99 121 243 297 363 891 1089 2673 3267 9801 29403 419380067 1258140201 3774420603 4613180737 11323261809 13839542211 33969785427 41518626633 50744988107 101909356281 124555879899 152234964321 373667639697 456704892963 1121002919091 1370114678889 4110344036667 12331032110001