Search a number
-
+
12303103313123 = 712171444195717
BaseRepresentation
bin1011001100001000101000…
…0110100100010011100011
31121120011110102102202211122
42303002022012210103203
53103033223422004443
642055545002002455
72406604240452110
oct263021206442343
947504412382748
1012303103313123
113a13798096197
1214685104a642b
136b324043653c
1430768ad3b907
15165072c7e968
hexb308a1a44e3

12303103313123 has 8 divisors (see below), whose sum is σ = 14072243076192. Its totient is φ = 10536851943936.

The previous prime is 12303103313101. The next prime is 12303103313131. The reversal of 12303103313123 is 32131330130321.

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-12303103313123 is a prime.

It is a super-3 number, since 3×123031033131233 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12303103313092 and 12303103313101.

It is not an unprimeable number, because it can be changed into a prime (12303103313173) 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, 722089340 + ... + 722106377.

It is an arithmetic number, because the mean of its divisors is an integer number (1759030384524).

Almost surely, 212303103313123 is an apocalyptic number.

12303103313123 is a deficient number, since it is larger than the sum of its proper divisors (1769139763069).

12303103313123 is a wasteful number, since it uses less digits than its factorization.

12303103313123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444196941.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 12303103313123 its reverse (32131330130321), we get a palindrome (44434433443444).

The spelling of 12303103313123 in words is "twelve trillion, three hundred three billion, one hundred three million, three hundred thirteen thousand, one hundred twenty-three".

Divisors: 1 7 1217 8519 1444195717 10109370019 1757586187589 12303103313123