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104135354303343 = 31171241201791433
BaseRepresentation
bin10111101011010111100110…
…110011010100001101101111
3111122201020112220000021012220
4113223113212303110031233
5102122123201200201333
61005251042113130423
730635350104556506
oct2753274663241557
9448636486007186
10104135354303343
11301a9612779260
12b81a167559a13
134614bca1a691c
141ba026c78983d
15c08bed6cd8b3
hex5eb5e6cd436f

104135354303343 has 64 divisors (see below), whose sum is σ = 154318495693824. Its totient is φ = 61933842432000.

The previous prime is 104135354303333. The next prime is 104135354303411. The reversal of 104135354303343 is 343303453531401.

It is not a de Polignac number, because 104135354303343 - 25 = 104135354303311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 104135354303295 and 104135354303304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104135354303303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1138879555 + ... + 1138970987.

It is an arithmetic number, because the mean of its divisors is an integer number (2411226495216).

Almost surely, 2104135354303343 is an apocalyptic number.

104135354303343 is a deficient number, since it is larger than the sum of its proper divisors (50183141390481).

104135354303343 is a wasteful number, since it uses less digits than its factorization.

104135354303343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93776.

The product of its (nonzero) digits is 1166400, while the sum is 42.

The spelling of 104135354303343 in words is "one hundred four trillion, one hundred thirty-five billion, three hundred fifty-four million, three hundred three thousand, three hundred forty-three".

Divisors: 1 3 11 33 71 213 241 723 781 2017 2343 2651 6051 7953 17111 22187 51333 66561 91433 143207 188221 274299 429621 486097 564663 1005763 1458291 1575277 3017289 4725831 5347067 6491743 16041201 19475229 22035353 34512887 66106059 71409173 103538661 184420361 214227519 242388883 379641757 553261083 727166649 1138925271 1564510063 2028623971 4693530189 6085871913 13093845631 17209610693 39281536893 44445307001 51628832079 133335921003 144032301941 432096905823 488898377011 1466695131033 3155616797071 9466850391213 34711784767781 104135354303343