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311313121111001 = 454968435506949
BaseRepresentation
bin100011011001000110011101…
…1111111110110101111011001
31111211021020120200012210102202
41012302030323333312233121
5311301023233001023001
63022035135023535545
7122400426232333022
oct10662147377665731
91454236520183382
10311313121111001
1190215175a50619
122aaba69a45a5b5
1310492916b51c79
1456c38c79a3c49
1525ece7e59d96b
hex11b233bff6bd9

311313121111001 has 4 divisors (see below), whose sum is σ = 311381556622500. Its totient is φ = 311244685599504.

The previous prime is 311313121110899. The next prime is 311313121111021. The reversal of 311313121111001 is 100111121313113.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 266791879075225 + 44521242035776 = 16333765^2 + 6672424^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-311313121111001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311313121111021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34217748926 + ... + 34217758023.

It is an arithmetic number, because the mean of its divisors is an integer number (77845389155625).

Almost surely, 2311313121111001 is an apocalyptic number.

It is an amenable number.

311313121111001 is a deficient number, since it is larger than the sum of its proper divisors (68435511499).

311313121111001 is an equidigital number, since it uses as much as digits as its factorization.

311313121111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68435511498.

The product of its (nonzero) digits is 54, while the sum is 20.

Adding to 311313121111001 its reverse (100111121313113), we get a palindrome (411424242424114).

The spelling of 311313121111001 in words is "three hundred eleven trillion, three hundred thirteen billion, one hundred twenty-one million, one hundred eleven thousand, one".

Divisors: 1 4549 68435506949 311313121111001