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12332211310031 = 83285752005901
BaseRepresentation
bin1011001101110101000100…
…0100110000110111001111
31121122221121000021020000012
42303131101010300313033
53104022332043410111
642121201211223435
72411654456366624
oct263352104606717
947587530236005
1012332211310031
113a2507486a088
121472094747b7b
136b5bcba74b52
14308c4cb0c34b
15165bc840b48b
hexb3751130dcf

12332211310031 has 8 divisors (see below), whose sum is σ = 12485160904944. Its totient is φ = 12179365732800.

The previous prime is 12332211310009. The next prime is 12332211310037. The reversal of 12332211310031 is 13001311223321.

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-12332211310031 is a prime.

It is a super-2 number, since 2×123322113100312 (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 = 12332211309979 and 12332211310006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12332211310037) 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, 25765820 + ... + 26240081.

It is an arithmetic number, because the mean of its divisors is an integer number (1560645113118).

Almost surely, 212332211310031 is an apocalyptic number.

12332211310031 is a deficient number, since it is larger than the sum of its proper divisors (152949594913).

12332211310031 is an equidigital number, since it uses as much as digits as its factorization.

12332211310031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52008841.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 12332211310031 its reverse (13001311223321), we get a palindrome (25333522533352).

The spelling of 12332211310031 in words is "twelve trillion, three hundred thirty-two billion, two hundred eleven million, three hundred ten thousand, thirty-one".

Divisors: 1 83 2857 237131 52005901 4316489783 148580859157 12332211310031