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313314334031 = 1731937163443
BaseRepresentation
bin1001000111100101111…
…11010101010101001111
31002221201102012021102202
410203302333111111033
520113131432142111
6355533513312115
731431135616616
oct4436277252517
91087642167382
10313314334031
1111096a856546
125088040563b
132371237987a
141124353287d
15823b501b3b
hex48f2fd554f

313314334031 has 16 divisors (see below), whose sum is σ = 342487968768. Its totient is φ = 285336739200.

The previous prime is 313314334013. The next prime is 313314334051. The reversal of 313314334031 is 130433413313.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313314334031 is a prime.

It is a super-2 number, since 2×3133143340312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313314333985 and 313314334003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313314334051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4906796 + ... + 4970238.

It is an arithmetic number, because the mean of its divisors is an integer number (21405498048).

Almost surely, 2313314334031 is an apocalyptic number.

313314334031 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

313314334031 is a deficient number, since it is larger than the sum of its proper divisors (29173634737).

313314334031 is a wasteful number, since it uses less digits than its factorization.

313314334031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72862.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 313314334031 its reverse (130433413313), we get a palindrome (443747747344).

The spelling of 313314334031 in words is "three hundred thirteen billion, three hundred fourteen million, three hundred thirty-four thousand, thirty-one".

Divisors: 1 17 31 527 9371 63443 159307 290501 1078531 1966733 4938517 33434461 594524353 10106914001 18430254943 313314334031