Search a number
-
+
11430133134 = 237476786423
BaseRepresentation
bin10101010010100100…
…11111110110001110
31002111120210220222020
422221102133312032
5141402103230014
65130111231010
7553151346210
oct125122376616
932446726866
1011430133134
114936015222
12226bb18466
1311020896b4
147a607a5b0
1546d7061a9
hex2a949fd8e

11430133134 has 64 divisors (see below), whose sum is σ = 27080441856. Its totient is φ = 3148526304.

The previous prime is 11430133103. The next prime is 11430133151. The reversal of 11430133134 is 43133103411.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89047 + ... + 175469.

It is an arithmetic number, because the mean of its divisors is an integer number (423131904).

Almost surely, 211430133134 is an apocalyptic number.

11430133134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11430133134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13540220928).

11430133134 is an abundant number, since it is smaller than the sum of its proper divisors (15650308722).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11430133134 is a wasteful number, since it uses less digits than its factorization.

11430133134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86549.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 11430133134 its reverse (43133103411), we get a palindrome (54563236545).

The spelling of 11430133134 in words is "eleven billion, four hundred thirty million, one hundred thirty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 47 67 94 134 141 201 282 329 402 469 658 938 987 1407 1974 2814 3149 6298 9447 18894 22043 44086 66129 86423 132258 172846 259269 518538 604961 1209922 1814883 3629766 4061881 5790341 8123762 11580682 12185643 17371023 24371286 28433167 34742046 40532387 56866334 81064774 85299501 121597161 170599002 243194322 272146027 544292054 816438081 1632876162 1905022189 3810044378 5715066567 11430133134