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12343300114001 = 105972392948677
BaseRepresentation
bin1011001110011110011000…
…0001001100011001010001
31121201000012210210211101112
42303213212001030121101
53104213034312122001
642130233410543105
72412526324564313
oct263474601143121
947630183724345
1012343300114001
113a2984514168a
12147426a297a95
136b6c781c2c0c
143095c16d77b3
15166126b8ccbb
hexb39e604c651

12343300114001 has 8 divisors (see below), whose sum is σ = 12345234394920. Its totient is φ = 12341365999488.

The previous prime is 12343300113979. The next prime is 12343300114141. The reversal of 12343300114001 is 10041100334321.

It can be written as a sum of positive squares in 4 ways, for example, as 553855966225 + 11789444147776 = 744215^2 + 3433576^2 .

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 12343300114001 - 226 = 12343233005137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12343300119001) 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, 253551275 + ... + 253599951.

It is an arithmetic number, because the mean of its divisors is an integer number (1543154299365).

Almost surely, 212343300114001 is an apocalyptic number.

It is an amenable number.

12343300114001 is a deficient number, since it is larger than the sum of its proper divisors (1934280919).

12343300114001 is a wasteful number, since it uses less digits than its factorization.

12343300114001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83203.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 12343300114001 its reverse (10041100334321), we get a palindrome (22384400448322).

The spelling of 12343300114001 in words is "twelve trillion, three hundred forty-three billion, three hundred million, one hundred fourteen thousand, one".

Divisors: 1 10597 23929 48677 253575613 515830169 1164791933 12343300114001