Search a number
-
+
1134131311 = 23316723741
BaseRepresentation
bin100001110011001…
…0111100001101111
32221001001211200101
41003212113201233
54310314200221
6304312211531
740050646165
oct10346274157
92831054611
101134131311
11532207705
12277999ba7
13150c71221
14aa8a5235
1569878d91
hex4399786f

1134131311 has 16 divisors (see below), whose sum is σ = 1239902208. Its totient is φ = 1034114400.

The previous prime is 1134131293. The next prime is 1134131329. The reversal of 1134131311 is 1131314311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1134131293) and next prime (1134131329).

It is a cyclic number.

It is not a de Polignac number, because 1134131311 - 213 = 1134123119 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134131611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35901 + ... + 59641.

It is an arithmetic number, because the mean of its divisors is an integer number (77493888).

Almost surely, 21134131311 is an apocalyptic number.

1134131311 is a deficient number, since it is larger than the sum of its proper divisors (105770897).

1134131311 is a wasteful number, since it uses less digits than its factorization.

1134131311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23862.

The product of its digits is 108, while the sum is 19.

The square root of 1134131311 is about 33676.8661101356. The cubic root of 1134131311 is about 1042.8482424005.

Adding to 1134131311 its reverse (1131314311), we get a palindrome (2265445622).

The spelling of 1134131311 in words is "one billion, one hundred thirty-four million, one hundred thirty-one thousand, three hundred eleven".

Divisors: 1 23 31 67 713 1541 2077 23741 47771 546043 735971 1590647 16927333 36584881 49310057 1134131311