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103340776463343 = 346197215618059
BaseRepresentation
bin10111011111110011100110…
…010001011001101111101111
3111112220021121101121210110000
4113133303212101121233233
5102021113402233311333
61003442033004315343
730524060530430226
oct2737634621315757
9445807541553400
10103340776463343
112aa22639252631
12b710174b42b53
134587cbb688a63
141b73a125b7cbd
15be31e6432713
hex5dfce6459bef

103340776463343 has 40 divisors (see below), whose sum is σ = 158521535239760. Its totient is φ = 67065840760320.

The previous prime is 103340776463317. The next prime is 103340776463401. The reversal of 103340776463343 is 343364677043301.

103340776463343 is a `hidden beast` number, since 1 + 0 + 33 + 40 + 7 + 76 + 463 + 3 + 43 = 666.

It is not a de Polignac number, because 103340776463343 - 218 = 103340776201199 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103340776463343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103340776461343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 107329753 + ... + 108288306.

It is an arithmetic number, because the mean of its divisors is an integer number (3963038380994).

Almost surely, 2103340776463343 is an apocalyptic number.

103340776463343 is a deficient number, since it is larger than the sum of its proper divisors (55180758776417).

103340776463343 is an equidigital number, since it uses as much as digits as its factorization.

103340776463343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215618229 (or 215618220 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 54.

The spelling of 103340776463343 in words is "one hundred three trillion, three hundred forty billion, seven hundred seventy-six million, four hundred sixty-three thousand, three hundred forty-three".

Divisors: 1 3 9 27 61 81 97 183 291 549 873 1647 2619 4941 5917 7857 17751 53253 159759 479277 215618059 646854177 1940562531 5821687593 13152701599 17465062779 20914951723 39458104797 62744855169 118374314391 188234565507 355122943173 564703696521 1065368829519 1275812055103 1694111089563 3827436165309 11482308495927 34446925487781 103340776463343