Search a number
-
+
12300332000213 = 174571583258077
BaseRepresentation
bin1011001011111110010011…
…1010110110001111010101
31121112220022021201111012202
42302333210322312033111
53103012034443001323
642054410003054245
72406445456623455
oct262774472661725
947486267644182
1012300332000213
113a125a5821844
121467a78371385
136b2bbb24180a
143074a6c63d65
15164e5e80ed28
hexb2fe4eb63d5

12300332000213 has 8 divisors (see below), whose sum is σ = 13052379595032. Its totient is φ = 11551450922496.

The previous prime is 12300332000197. The next prime is 12300332000227. The reversal of 12300332000213 is 31200023300321.

It can be written as a sum of positive squares in 4 ways, for example, as 9089272284964 + 3211059715249 = 3014842^2 + 1791943^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12300332000213 - 24 = 12300332000197 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300332000273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 791621270 + ... + 791636807.

It is an arithmetic number, because the mean of its divisors is an integer number (1631547449379).

Almost surely, 212300332000213 is an apocalyptic number.

It is an amenable number.

12300332000213 is a deficient number, since it is larger than the sum of its proper divisors (752047594819).

12300332000213 is a wasteful number, since it uses less digits than its factorization.

12300332000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583258551.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 12300332000213 its reverse (31200023300321), we get a palindrome (43500355300534).

The spelling of 12300332000213 in words is "twelve trillion, three hundred billion, three hundred thirty-two million, two hundred thirteen", and thus it is an aban number.

Divisors: 1 17 457 7769 1583258077 26915387309 723548941189 12300332000213