Search a number
-
+
1318118131 = 11187363977
BaseRepresentation
bin100111010010000…
…1110001011110011
310101212021100011001
41032210032023303
510144414240011
6334443502431
744443551001
oct11644161363
93355240131
101318118131
11617052730
12309527a17
1318010c975
14c70b9a71
157aabd7c1
hex4e90e2f3

1318118131 has 8 divisors (see below), whose sum is σ = 1438737264. Its totient is φ = 1197630720.

The previous prime is 1318118129. The next prime is 1318118161.

1318118131 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1318118131 - 21 = 1318118129 is a prime.

It is a super-2 number, since 2×13181181312 = 3474870814541866322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1318118131.

It is not an unprimeable number, because it can be changed into a prime (1318118111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11386 + ... + 52591.

It is an arithmetic number, because the mean of its divisors is an integer number (179842158).

Almost surely, 21318118131 is an apocalyptic number.

1318118131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1318118131 is a deficient number, since it is larger than the sum of its proper divisors (120619133).

1318118131 is a wasteful number, since it uses less digits than its factorization.

1318118131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65861.

The product of its digits is 576, while the sum is 28.

The square root of 1318118131 is about 36305.8966422811. The cubic root of 1318118131 is about 1096.4397652149.

The spelling of 1318118131 in words is "one billion, three hundred eighteen million, one hundred eighteen thousand, one hundred thirty-one".

Divisors: 1 11 1873 20603 63977 703747 119828921 1318118131