Search a number
-
+
12300110331101 = 53470934928069
BaseRepresentation
bin1011001011111101011110…
…1101001111110011011101
31121112212201211121112100122
42302333113231033303131
53103011111221043401
642054332004004325
72406440125516025
oct262772755176335
947485654545318
1012300110331101
113a124a168952a
121467a160906a5
136b2b8433b468
14307485640a85
15164e4a12521b
hexb2fd7b4fcdd

12300110331101 has 8 divisors (see below), whose sum is σ = 12532456543320. Its totient is φ = 12067774069312.

The previous prime is 12300110331053. The next prime is 12300110331121. The reversal of 12300110331101 is 10113301100321.

It can be written as a sum of positive squares in 4 ways, for example, as 4509787387876 + 7790322943225 = 2123626^2 + 2791115^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 12300110331101 - 214 = 12300110314717 is a prime.

It is a super-3 number, since 3×123001103311013 (a number of 40 digits) contains 333 as substring.

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 12300110331101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300110331121) 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, 31895 + ... + 4959963.

It is an arithmetic number, because the mean of its divisors is an integer number (1566557067915).

Almost surely, 212300110331101 is an apocalyptic number.

It is an amenable number.

12300110331101 is a deficient number, since it is larger than the sum of its proper divisors (232346212219).

12300110331101 is an equidigital number, since it uses as much as digits as its factorization.

12300110331101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4975215.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 12300110331101 its reverse (10113301100321), we get a palindrome (22413411431422).

The spelling of 12300110331101 in words is "twelve trillion, three hundred billion, one hundred ten million, three hundred thirty-one thousand, one hundred one".

Divisors: 1 53 47093 2495929 4928069 261187657 232077553417 12300110331101