Search a number
-
+
12303111321123 = 37837058583661
BaseRepresentation
bin1011001100001000101010…
…0101000111011000100011
31121120011110222111121202020
42303002022211013120203
53103033232444233443
642055545445352523
72406604365514050
oct263021245073043
947504428447666
1012303111321123
113a137a1665777
121468513108743
136b3241cab4bc
1430768c024027
15165073812583
hexb308a947623

12303111321123 has 16 divisors (see below), whose sum is σ = 18973472883456. Its totient is φ = 6945646321440.

The previous prime is 12303111321113. The next prime is 12303111321131. The reversal of 12303111321123 is 32112311130321.

It is a de Polignac number, because none of the positive numbers 2k-12303111321123 is a prime.

It is a super-2 number, since 2×123031113211232 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12303111321093 and 12303111321102.

It is not an unprimeable number, because it can be changed into a prime (12303111321113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3529290088 + ... + 3529293573.

It is an arithmetic number, because the mean of its divisors is an integer number (1185842055216).

Almost surely, 212303111321123 is an apocalyptic number.

12303111321123 is a deficient number, since it is larger than the sum of its proper divisors (6670361562333).

12303111321123 is an equidigital number, since it uses as much as digits as its factorization.

12303111321123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7058583754.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 12303111321123 its reverse (32112311130321), we get a palindrome (44415422451444).

The spelling of 12303111321123 in words is "twelve trillion, three hundred three billion, one hundred eleven million, three hundred twenty-one thousand, one hundred twenty-three".

Divisors: 1 3 7 21 83 249 581 1743 7058583661 21175750983 49410085627 148230256881 585862443863 1757587331589 4101037107041 12303111321123