Search a number
-
+
13530138245 = 51317611811109
BaseRepresentation
bin11001001100111010…
…11000011010000101
31021220221100020102022
430212131120122011
5210202203410440
610114325452525
7656201164121
oct144635303205
937827306368
1013530138245
115813457138
122757271145
131378179980
14924d28581
15542c6ecb5
hex326758685

13530138245 has 64 divisors (see below), whose sum is σ = 18938162880. Its totient is φ = 9190195200.

The previous prime is 13530138233. The next prime is 13530138247. The reversal of 13530138245 is 54283103531.

It can be written as a sum of positive squares in 32 ways, for example, as 12315894529 + 1214243716 = 110977^2 + 34846^2 .

It is not a de Polignac number, because 13530138245 - 210 = 13530137221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13530138247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12199751 + ... + 12200859.

It is an arithmetic number, because the mean of its divisors is an integer number (295908795).

Almost surely, 213530138245 is an apocalyptic number.

It is an amenable number.

13530138245 is a deficient number, since it is larger than the sum of its proper divisors (5408024635).

13530138245 is a wasteful number, since it uses less digits than its factorization.

13530138245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386.

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 13530138245 in words is "thirteen billion, five hundred thirty million, one hundred thirty-eight thousand, two hundred forty-five".

Divisors: 1 5 13 17 61 65 85 181 221 305 793 905 1037 1105 1109 2353 3077 3965 5185 5545 11041 11765 13481 14417 15385 18853 40001 55205 67405 67649 72085 94265 143533 187697 200005 200729 245089 338245 717665 879437 938485 1003645 1150033 1225445 2440061 2609477 3412393 4397185 5750165 12200305 12244469 13047385 14950429 17061965 44361109 61222345 74752145 159178097 208155973 221805545 795890485 1040779865 2706027649 13530138245