Search a number
-
+
3135800058813 = 36172473102317
BaseRepresentation
bin101101101000011100001…
…111111010001110111101
3102002210001022001001000000
4231220130033322032331
5402334104303340223
610400322222024513
7442361022465642
oct55503417721675
912083038031000
103135800058813
11aa9981423944
124278a5118139
13199921236ba6
14abab8805dc9
1556881898543
hex2da1c3fa3bd

3135800058813 has 56 divisors (see below), whose sum is σ = 4980172717368. Its totient is φ = 1966745981952.

The previous prime is 3135800058751. The next prime is 3135800058841. The reversal of 3135800058813 is 3188500085313.

3135800058813 is a `hidden beast` number, since 3 + 1 + 3 + 58 + 0 + 0 + 0 + 588 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1830235591044 + 1305564467769 = 1352862^2 + 1142613^2 .

It is not a de Polignac number, because 3135800058813 - 26 = 3135800058749 is a prime.

It is a super-2 number, since 2×31358000588132 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135800058113) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 30596731 + ... + 30699047.

Almost surely, 23135800058813 is an apocalyptic number.

It is an amenable number.

3135800058813 is a deficient number, since it is larger than the sum of its proper divisors (1844372658555).

3135800058813 is a wasteful number, since it uses less digits than its factorization.

3135800058813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104825 (or 104810 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 3135800058813 in words is "three trillion, one hundred thirty-five billion, eight hundred million, fifty-eight thousand, eight hundred thirteen".

Divisors: 1 3 9 17 27 51 81 153 243 459 729 1377 2473 4131 7419 12393 22257 42041 66771 102317 126123 200313 306951 378369 600939 920853 1135107 1739389 1802817 2762559 3405321 5218167 8287677 10215963 15654501 24863031 30647889 46963503 74589093 140890509 253029941 422671527 759089823 1268014581 2277269469 4301508997 6831808407 12904526991 20495425221 38713580973 61486275663 116140742919 184458826989 348422228757 1045266686271 3135800058813