Search a number
-
+
131102004241 = 1331215766841
BaseRepresentation
bin111101000011001001…
…0011101010000010001
3110112101201112212020201
41322012102131100101
54121444103113431
6140121042535201
712320554435465
oct1720622352021
9415351485221
10131102004241
115066673323a
12214a9967501
13c4942a7850
1464b99aa4a5
153624993461
hex1e8649d411

131102004241 has 24 divisors (see below), whose sum is σ = 146819522472. Its totient is φ = 116365766400.

The previous prime is 131102004233. The next prime is 131102004259. The reversal of 131102004241 is 142400201131.

It can be written as a sum of positive squares in 4 ways, for example, as 77841 + 131101926400 = 279^2 + 362080^2 .

It is not a de Polignac number, because 131102004241 - 23 = 131102004233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131102004211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1927981 + ... + 1994821.

It is an arithmetic number, because the mean of its divisors is an integer number (6117480103).

Almost surely, 2131102004241 is an apocalyptic number.

It is an amenable number.

131102004241 is a deficient number, since it is larger than the sum of its proper divisors (15717518231).

131102004241 is a wasteful number, since it uses less digits than its factorization.

131102004241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67073 (or 67042 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 131102004241 its reverse (142400201131), we get a palindrome (273502205372).

The spelling of 131102004241 in words is "one hundred thirty-one billion, one hundred two million, four thousand, two hundred forty-one".

Divisors: 1 13 31 157 403 961 2041 4867 12493 63271 66841 150877 868933 1961401 2072071 10494037 26936923 64234201 136422481 325315147 835044613 4229096911 10084769557 131102004241