Search a number
-
+
123231040132321 = 1121527766664813
BaseRepresentation
bin11100000001001111110110…
…010111110101010011100001
3121011022202212001211002120101
4130001033312113311103201
5112123004132233213241
61114031320332142401
734646102024153662
oct3401176627652341
9534282761732511
10123231040132321
11362a0a99589a00
12119a3002007a01
13539b838c8cb34
1422605b2689369
15e3a7c7404e31
hex7013f65f54e1

123231040132321 has 12 divisors (see below), whose sum is σ = 135461168762836. Its totient is φ = 112020883492320.

The previous prime is 123231040132279. The next prime is 123231040132331.

123231040132321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 73814920416721 + 49416119715600 = 8591561^2 + 7029660^2 .

It is not a de Polignac number, because 123231040132321 - 217 = 123231040001249 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 123231040132321.

It is not an unprimeable number, because it can be changed into a prime (123231040132331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31483890 + ... + 35180923.

Almost surely, 2123231040132321 is an apocalyptic number.

123231040132321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123231040132321 is a deficient number, since it is larger than the sum of its proper divisors (12230128630515).

123231040132321 is a wasteful number, since it uses less digits than its factorization.

123231040132321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66680112 (or 66680101 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 123231040132321 in words is "one hundred twenty-three trillion, two hundred thirty-one billion, forty million, one hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 11 121 15277 168047 1848517 66664813 733312943 8066442373 1018438348201 11202821830211 123231040132321