Search a number
-
+
131143036113 = 3238213813517
BaseRepresentation
bin111101000100010111…
…0111110110011010001
3110112111120202111101200
41322020232332303101
54122040104123423
6140125110221413
712321563262105
oct1721056766321
9415446674350
10131143036113
1150687909081
12214bb654869
13c49c942c6b
1464c120b905
15362839ad43
hex1e88bbecd1

131143036113 has 12 divisors (see below), whose sum is σ = 189478455348. Its totient is φ = 87405786720.

The previous prime is 131143036093. The next prime is 131143036133. The reversal of 131143036113 is 311630341131.

131143036113 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 43 + 0 + 3 + 611 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (131143036093) and next prime (131143036133).

It can be written as a sum of positive squares in 2 ways, for example, as 105655552209 + 25487483904 = 325047^2 + 159648^2 .

It is not a de Polignac number, because 131143036113 - 28 = 131143035857 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131143036133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1872370 + ... + 1941147.

It is an arithmetic number, because the mean of its divisors is an integer number (15789871279).

Almost surely, 2131143036113 is an apocalyptic number.

It is an amenable number.

131143036113 is a deficient number, since it is larger than the sum of its proper divisors (58335419235).

131143036113 is a wasteful number, since it uses less digits than its factorization.

131143036113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3817344 (or 3817341 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 131143036113 its reverse (311630341131), we get a palindrome (442773377244).

The spelling of 131143036113 in words is "one hundred thirty-one billion, one hundred forty-three million, thirty-six thousand, one hundred thirteen".

Divisors: 1 3 9 3821 11463 34389 3813517 11440551 34321653 14571448457 43714345371 131143036113