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103768023359 = 71113412528399
BaseRepresentation
bin110000010100100001…
…1100110000100111111
3100220211202211202120102
41200221003212010333
53200004103221414
6115400444511315
710332316434230
oct1405103460477
9326752752512
10103768023359
114000a3868a0
121813b84b53b
139a2935c270
14504566b087
152a74e3aede
hex18290e613f

103768023359 has 32 divisors (see below), whose sum is σ = 142723123200. Its totient is φ = 72817862400.

The previous prime is 103768023323. The next prime is 103768023407. The reversal of 103768023359 is 953320867301.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103768023359 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103768020359) 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 31 ways as a sum of consecutive naturals, for example, 1223159 + ... + 1305240.

It is an arithmetic number, because the mean of its divisors is an integer number (4460097600).

Almost surely, 2103768023359 is an apocalyptic number.

103768023359 is a deficient number, since it is larger than the sum of its proper divisors (38955099841).

103768023359 is a wasteful number, since it uses less digits than its factorization.

103768023359 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528471.

The product of its (nonzero) digits is 816480, while the sum is 47.

The spelling of 103768023359 in words is "one hundred three billion, seven hundred sixty-eight million, twenty-three thousand, three hundred fifty-nine".

Divisors: 1 7 11 13 41 77 91 143 287 451 533 1001 3157 3731 5863 41041 2528399 17698793 27812389 32869187 103664359 194686723 230084309 361561057 725650513 1140307949 1347636667 2530927399 7982155643 9433456669 14824003337 103768023359