Search a number
-
+
1317331431 = 3613229607
BaseRepresentation
bin100111010000100…
…1110000111100111
310101210210101000000
41032201032013213
510144214101211
6334414552343
744434063263
oct11641160747
93353711000
101317331431
11616665669
123092086b3
1317cbc5870
14c6d530a3
157a9b5656
hex4e84e1e7

1317331431 has 56 divisors (see below), whose sum is σ = 2139831680. Its totient is φ = 805795776.

The previous prime is 1317331423. The next prime is 1317331441. The reversal of 1317331431 is 1341337131.

1317331431 is a `hidden beast` number, since 1 + 317 + 3 + 314 + 31 = 666.

1317331431 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1317331431 - 23 = 1317331423 is a prime.

It is a super-2 number, since 2×13173314312 = 3470724198201015522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1317331395 and 1317331404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1317331441) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2169930 + ... + 2170536.

It is an arithmetic number, because the mean of its divisors is an integer number (38211280).

Almost surely, 21317331431 is an apocalyptic number.

1317331431 is a deficient number, since it is larger than the sum of its proper divisors (822500249).

1317331431 is an equidigital number, since it uses as much as digits as its factorization.

1317331431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 852 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 1317331431 is about 36295.0606970150. The cubic root of 1317331431 is about 1096.2215903276.

Adding to 1317331431 its reverse (1341337131), we get a palindrome (2658668562).

The spelling of 1317331431 in words is "one billion, three hundred seventeen million, three hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 13 27 39 81 117 229 243 351 607 687 729 1053 1821 2061 2977 3159 5463 6183 7891 8931 9477 16389 18549 23673 26793 49167 55647 71019 80379 139003 147501 166941 213057 241137 417009 442503 639171 723411 1251027 1807039 1917513 2170233 3753081 5421117 5752539 11259243 16263351 33777729 48790053 101333187 146370159 439110477 1317331431