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34313120055 = 32523831073733
BaseRepresentation
bin11111111101001110…
…001010100100110111
310021120100012002210100
4133331032022210313
51030233124320210
623432505125143
72323211464614
oct377516124467
9107510162710
1034313120055
1113608952a65
1267974897b3
13330ab29346
1419371c950b
15d5c6005c0
hex7fd38a937

34313120055 has 96 divisors (see below), whose sum is σ = 63413715456. Its totient is φ = 17127551232.

The previous prime is 34313119949. The next prime is 34313120063. The reversal of 34313120055 is 55002131343.

34313120055 is a `hidden beast` number, since 343 + 1 + 312 + 0 + 0 + 5 + 5 = 666.

It is not a de Polignac number, because 34313120055 - 27 = 34313119927 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9189969 + ... + 9193701.

It is an arithmetic number, because the mean of its divisors is an integer number (660559536).

Almost surely, 234313120055 is an apocalyptic number.

34313120055 is a deficient number, since it is larger than the sum of its proper divisors (29100595401).

34313120055 is a wasteful number, since it uses less digits than its factorization.

34313120055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3957 (or 3954 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 34313120055 its reverse (55002131343), we get a palindrome (89315251398).

The spelling of 34313120055 in words is "thirty-four billion, three hundred thirteen million, one hundred twenty thousand, fifty-five".

Divisors: 1 3 5 9 15 23 45 69 83 107 115 207 249 321 345 415 535 747 963 1035 1245 1605 1909 2461 3733 3735 4815 5727 7383 8881 9545 11199 12305 17181 18665 22149 26643 28635 33597 36915 44405 55995 79929 85859 85905 110745 133215 167985 204263 257577 309839 399431 399645 429295 612789 772731 929517 1021315 1198293 1287885 1549195 1838367 1997155 2788551 3063945 3594879 3863655 4647585 5991465 7126297 9186913 9191835 13942755 17974395 21378891 27560739 33152773 35631485 45934565 64136673 82682217 99458319 106894455 137803695 165763865 298374957 320683365 413411085 497291595 762513779 1491874785 2287541337 3812568895 6862624011 11437706685 34313120055