Search a number
-
+
1131131131 = 13317338449
BaseRepresentation
bin100001101101011…
…1011000011111011
32220211102102012121
41003122323003323
54304032144011
6304124022111
740013312254
oct10332730373
92824372177
101131131131
11530548619
12276991937
13150460780
14aa323b2b
1569484e71
hex436bb0fb

1131131131 has 16 divisors (see below), whose sum is σ = 1274694400. Its totient is φ = 996572160.

The previous prime is 1131131087. The next prime is 1131131137. The reversal of 1131131131 is 1311311311.

It is a cyclic number.

It is not a de Polignac number, because 1131131131 - 27 = 1131131003 is a prime.

It is a super-2 number, since 2×11311311312 = 2558915271034678322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1131131137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10195 + ... + 48643.

It is an arithmetic number, because the mean of its divisors is an integer number (79668400).

Almost surely, 21131131131 is an apocalyptic number.

1131131131 is a deficient number, since it is larger than the sum of its proper divisors (143563269).

1131131131 is a wasteful number, since it uses less digits than its factorization.

1131131131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38566.

The product of its digits is 27, while the sum is 16.

The square root of 1131131131 is about 33632.2929786240. The cubic root of 1131131131 is about 1041.9278623879.

Adding to 1131131131 its reverse (1311311311), we get a palindrome (2442442442).

It can be divided in two parts, 113113 and 1131, that added together give a square (114244 = 3382).

The spelling of 1131131131 in words is "one billion, one hundred thirty-one million, one hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 13 31 73 403 949 2263 29419 38449 499837 1191919 2806777 15494947 36488101 87010087 1131131131