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311200013 = 1318723599
BaseRepresentation
bin10010100011001…
…000100100001101
3210200120121011102
4102203020210031
51114131400023
650514032445
710466104445
oct2243104415
9720517142
10311200013
1114a7341a3
1288278725
134c61c927
142d48b125
151c4c2628
hex128c890d

311200013 has 4 divisors (see below), whose sum is σ = 311236800. Its totient is φ = 311163228.

The previous prime is 311200003. The next prime is 311200027. The reversal of 311200013 is 310002113.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 310002113 = 463669551.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-311200013 is a prime.

It is a super-3 number, since 3×3112000133 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 311199967 and 311200003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311200003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1388 + ... + 24986.

It is an arithmetic number, because the mean of its divisors is an integer number (77809200).

Almost surely, 2311200013 is an apocalyptic number.

It is an amenable number.

311200013 is a deficient number, since it is larger than the sum of its proper divisors (36787).

311200013 is a wasteful number, since it uses less digits than its factorization.

311200013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36786.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 311200013 is about 17640.8620254227. The cubic root of 311200013 is about 677.6621076031.

Adding to 311200013 its reverse (310002113), we get a palindrome (621202126).

The spelling of 311200013 in words is "three hundred eleven million, two hundred thousand, thirteen".

Divisors: 1 13187 23599 311200013