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343122222221343 = 327313713929393601
BaseRepresentation
bin100111000000100010101111…
…0001010111000100000011111
31122222220011102121211000201100
41032001011132022320200133
5324433203302342040333
63213432101154244143
7132162522350532555
oct11601053612704037
91588804377730640
10343122222221343
119a3693542a2154
1232597475b86653
131195c395bc86b6
1460a32c0333bd5
1529a05e2dd1213
hex138115e2b881f

343122222221343 has 96 divisors (see below), whose sum is σ = 511463507929920. Its totient is φ = 221595247411200.

The previous prime is 343122222221299. The next prime is 343122222221353.

343122222221343 is a `hidden beast` number, since 3 + 43 + 12 + 22 + 22 + 221 + 343 = 666.

343122222221343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 343122222221343 - 28 = 343122222221087 is a prime.

It is a super-2 number, since 2×3431222222213432 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 343122222221298 and 343122222221307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343122222221353) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3665749743 + ... + 3665843343.

It is an arithmetic number, because the mean of its divisors is an integer number (5327744874270).

Almost surely, 2343122222221343 is an apocalyptic number.

343122222221343 is a deficient number, since it is larger than the sum of its proper divisors (168341285708577).

343122222221343 is a wasteful number, since it uses less digits than its factorization.

343122222221343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94249 (or 94246 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The spelling of 343122222221343 in words is "three hundred forty-three trillion, one hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-one thousand, three hundred forty-three".

Divisors: 1 3 9 73 137 139 219 293 411 417 657 879 1233 1251 2637 10001 10147 19043 21389 30003 30441 40141 40727 57129 64167 90009 91323 93601 120423 122181 171387 192501 280803 361269 366543 842409 1390139 2930293 2973071 4170417 5579599 6832873 8790879 8919213 12511251 12823337 13010539 16738797 20498619 26372637 26757639 27425093 38470011 39031617 50216391 61495857 82275279 115410033 117094851 246825837 407310727 936103601 949769347 1221932181 1782443843 2002031789 2808310803 2849308041 3665796543 3757237741 3812087927 5347331529 6006095367 8424932409 8547924123 11271713223 11436263781 16041994587 18018286101 33815139669 34308791343 130118400539 274278355093 278282418671 390355201617 522256045999 822835065279 834847256013 1171065604851 1566768137997 2468505195837 2504541768039 4700304413991 38124691357927 114374074073781 343122222221343