Search a number
-
+
12310132211001 = 323736967363997
BaseRepresentation
bin1011001100100010110100…
…0011101011110100111001
31121120211121021112210001200
42303020231003223310321
53103142122321223001
642103110251404413
72410243360216542
oct263105503536471
947524537483050
1012310132211001
113a167747881a9
121469952453709
136b3ac0719901
14307b5665b4c9
15165334da6086
hexb322d0ebd39

12310132211001 has 12 divisors (see below), whose sum is σ = 18261877815012. Its totient is φ = 7984950623136.

The previous prime is 12310132210979. The next prime is 12310132211017. The reversal of 12310132211001 is 10011223101321.

12310132211001 is a `hidden beast` number, since 1 + 231 + 0 + 1 + 322 + 110 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8868454220025 + 3441677990976 = 2977995^2 + 1855176^2 .

It is not a de Polignac number, because 12310132211001 - 214 = 12310132194617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12310132211071) 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 11 ways as a sum of consecutive naturals, for example, 18483681666 + ... + 18483682331.

It is an arithmetic number, because the mean of its divisors is an integer number (1521823151251).

Almost surely, 212310132211001 is an apocalyptic number.

It is an amenable number.

12310132211001 is a deficient number, since it is larger than the sum of its proper divisors (5951745604011).

12310132211001 is a wasteful number, since it uses less digits than its factorization.

12310132211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36967364040 (or 36967364037 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12310132211001 its reverse (10011223101321), we get a palindrome (22321355312322).

The spelling of 12310132211001 in words is "twelve trillion, three hundred ten billion, one hundred thirty-two million, two hundred eleven thousand, one".

Divisors: 1 3 9 37 111 333 36967363997 110902091991 332706275973 1367792467889 4103377403667 12310132211001