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211323313222344 = 23322935046016977
BaseRepresentation
bin110000000011001010001011…
…000001000111001011001000
31000201020022102001011011111100
4300003022023001013023020
5210144310121141103334
62025240331225301400
762340414462533001
oct6003121301071310
91021208361134440
10211323313222344
1161374794143564
121b84ba5a034860
1390bb91a44ac4b
143a281626421a8
15196700e988c99
hexc0328b0472c8

211323313222344 has 24 divisors (see below), whose sum is σ = 572333973310710. Its totient is φ = 70441104407424.

The previous prime is 211323313222327. The next prime is 211323313222349. The reversal of 211323313222344 is 443222313323112.

It is a happy number.

211323313222344 is a `hidden beast` number, since 2 + 1 + 1 + 32 + 331 + 32 + 223 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 207096218342244 + 4227094880100 = 14390838^2 + 2055990^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×2113233132223443 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 211323313222299 and 211323313222308.

It is not an unprimeable number, because it can be changed into a prime (211323313222349) 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 5 ways as a sum of consecutive naturals, for example, 1467523008417 + ... + 1467523008560.

Almost surely, 2211323313222344 is an apocalyptic number.

211323313222344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211323313222344 is an abundant number, since it is smaller than the sum of its proper divisors (361010660088366).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211323313222344 is a wasteful number, since it uses less digits than its factorization.

211323313222344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935046016989 (or 2935046016982 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 211323313222344 its reverse (443222313323112), we get a palindrome (654545626545456).

The spelling of 211323313222344 in words is "two hundred eleven trillion, three hundred twenty-three billion, three hundred thirteen million, two hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2935046016977 5870092033954 8805138050931 11740184067908 17610276101862 23480368135816 26415414152793 35220552203724 52830828305586 70441104407448 105661656611172 211323313222344