Search a number
-
+
1318888131 = 311433532633
BaseRepresentation
bin100111010011100…
…1010001011000011
310101220201110101120
41032213022023003
510200113410011
6334512203323
744453235621
oct11647121303
93356643346
101318888131
116175291a0
12309839543
1318031c2a2
14c723a511
157abc1a06
hex4e9ca2c3

1318888131 has 32 divisors (see below), whose sum is σ = 1969304832. Its totient is φ = 778229760.

The previous prime is 1318888111. The next prime is 1318888141.

1318888131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1318888131 - 219 = 1318363843 is a prime.

It is a super-2 number, since 2×13188881312 = 3478931804185346322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1318888111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 499591 + ... + 502223.

It is an arithmetic number, because the mean of its divisors is an integer number (61540776).

Almost surely, 21318888131 is an apocalyptic number.

1318888131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1318888131 is a deficient number, since it is larger than the sum of its proper divisors (650416701).

1318888131 is a wasteful number, since it uses less digits than its factorization.

1318888131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3043.

The product of its digits is 36864, while the sum is 42.

The square root of 1318888131 is about 36316.4994320763. The cubic root of 1318888131 is about 1096.6532246556.

The spelling of 1318888131 in words is "one billion, three hundred eighteen million, eight hundred eighty-eight thousand, one hundred thirty-one".

Divisors: 1 3 11 33 43 129 353 473 1059 1419 2633 3883 7899 11649 15179 28963 45537 86889 113219 166969 339657 500907 929449 1245409 2788347 3736227 10223939 30671817 39966307 119898921 439629377 1318888131