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311323004013 = 3714824904953
BaseRepresentation
bin1001000011111000100…
…11000000110001101101
31002202120122011020012010
410201330103000301231
520100042142112023
6355004140231433
731330605605010
oct4417423006155
91082518136163
10311323004013
111100387a085a
125040553b579
1323485949898
14110d4c93377
1581717a3093
hex487c4c0c6d

311323004013 has 8 divisors (see below), whose sum is σ = 474396958528. Its totient is φ = 177898859424.

The previous prime is 311323003993. The next prime is 311323004089. The reversal of 311323004013 is 310400323113.

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

It is not a de Polignac number, because 311323004013 - 210 = 311323002989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 14824904953 = 311323004013 / (3 + 1 + 1 + 3 + 2 + 3 + 0 + 0 + 4 + 0 + 1 + 3).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311323000013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7412452456 + ... + 7412452497.

It is an arithmetic number, because the mean of its divisors is an integer number (59299619816).

Almost surely, 2311323004013 is an apocalyptic number.

It is an amenable number.

311323004013 is a deficient number, since it is larger than the sum of its proper divisors (163073954515).

311323004013 is a wasteful number, since it uses less digits than its factorization.

311323004013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14824904963.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 311323004013 its reverse (310400323113), we get a palindrome (621723327126).

The spelling of 311323004013 in words is "three hundred eleven billion, three hundred twenty-three million, four thousand, thirteen".

Divisors: 1 3 7 21 14824904953 44474714859 103774334671 311323004013