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103254343135125 = 35371319159250963
BaseRepresentation
bin10111011110100011000110…
…011100011010111110010101
3111112121000111201001210012120
4113132203012130122332111
5102013204343320311000
61003334220154210153
730514610610315540
oct2736430634327625
9445530451053176
10103254343135125
112a999a14956876
12b6b7472723959
13457cac5777a70
141b6d773271857
15be0d382826a0
hex5de8c671af95

103254343135125 has 128 divisors (see below), whose sum is σ = 222594627440640. Its totient is φ = 41277849350400.

The previous prime is 103254343135109. The next prime is 103254343135241. The reversal of 103254343135125 is 521531343452301.

It is not a de Polignac number, because 103254343135125 - 24 = 103254343135109 is a prime.

It is a super-2 number, since 2×1032543431351252 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78977107 + ... + 80273856.

It is an arithmetic number, because the mean of its divisors is an integer number (1739020526880).

Almost surely, 2103254343135125 is an apocalyptic number.

103254343135125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103254343135125 is an abundant number, since it is smaller than the sum of its proper divisors (119340284305515).

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

103254343135125 is a wasteful number, since it uses less digits than its factorization.

103254343135125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159251020 (or 159251010 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

Adding to 103254343135125 its reverse (521531343452301), we get a palindrome (624785686587426).

The spelling of 103254343135125 in words is "one hundred three trillion, two hundred fifty-four billion, three hundred forty-three million, one hundred thirty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 7 13 15 19 21 25 35 39 57 65 75 91 95 105 125 133 175 195 247 273 285 325 375 399 455 475 525 665 741 875 975 1235 1365 1425 1625 1729 1995 2275 2375 2625 3325 3705 4875 5187 6175 6825 7125 8645 9975 11375 16625 18525 25935 30875 34125 43225 49875 92625 129675 216125 648375 159250963 477752889 796254815 1114756741 2070262519 2388764445 3025768297 3344270223 3981274075 5573783705 6210787557 9077304891 10351312595 11943822225 14491837633 15128841485 16721351115 19906370375 21180378079 27868918525 31053937785 39334987861 43475512899 45386524455 51756562975 59719111125 63541134237 72459188165 75644207425 83606755575 105901890395 118004963583 139344592625 155269688925 196674939305 217377564495 226932622275 258782814875 275344915027 317705671185 362295940825 378221037125 418033777875 529509451975 590024817915 776348444625 826034745081 983374696525 1086887822475 1134663111375 1376724575135 1588528355925 1811479704125 2647547259875 2950124089575 4130173725405 4916873482625 5434439112375 6883622875675 7942641779625 14750620447875 20650868627025 34418114378375 103254343135125