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311213221319 = 72111323416509
BaseRepresentation
bin1001000011101011100…
…00001110010111000111
31002202021222120200122102
410201311300032113013
520044331041040234
6354545215222315
731325103506600
oct4416560162707
91082258520572
10311213221319
1110aa91828460
125039481799b
1323468c8c400
14110c4476da7
158166d19c7e
hex4875c0e5c7

311213221319 has 36 divisors (see below), whose sum is σ = 427651389720. Its totient is φ = 223849604160.

The previous prime is 311213221273. The next prime is 311213221357. The reversal of 311213221319 is 913122312113.

It is not a de Polignac number, because 311213221319 - 220 = 311212172743 is a prime.

It is a super-2 number, since 2×3112132213192 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 311213221291 and 311213221300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311213221379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1617164 + ... + 1799345.

It is an arithmetic number, because the mean of its divisors is an integer number (11879205270).

Almost surely, 2311213221319 is an apocalyptic number.

311213221319 is a deficient number, since it is larger than the sum of its proper divisors (116438168401).

311213221319 is a wasteful number, since it uses less digits than its factorization.

311213221319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416560 (or 3416540 counting only the distinct ones).

The product of its digits is 1944, while the sum is 29.

The spelling of 311213221319 in words is "three hundred eleven billion, two hundred thirteen million, two hundred twenty-one thousand, three hundred nineteen".

Divisors: 1 7 11 13 49 77 91 143 169 539 637 1001 1183 1859 7007 8281 13013 91091 3416509 23915563 37581599 44414617 167408941 263071193 310902319 488560787 577390021 1841498351 2176316233 3419925509 4041730147 6351290231 23939478563 28292111029 44459031617 311213221319