Search a number
-
+
134316105 = 35721137449
BaseRepresentation
bin10000000000110…
…00000001001001
3100100201222001120
420000120001021
5233341103410
621154505453
73220445100
oct1000300111
9310658046
10134316105
11698aa750
1238b95289
1321a9a1b1
1413ba5037
15bbd2570
hex8018049

134316105 has 96 divisors (see below), whose sum is σ = 280713600. Its totient is φ = 54190080.

The previous prime is 134316103. The next prime is 134316107. The reversal of 134316105 is 501613431.

It is an interprime number because it is at equal distance from previous prime (134316103) and next prime (134316107).

It is not a de Polignac number, because 134316105 - 21 = 134316103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (134316101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 298921 + ... + 299369.

It is an arithmetic number, because the mean of its divisors is an integer number (2924100).

Almost surely, 2134316105 is an apocalyptic number.

134316105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

134316105 is an abundant number, since it is smaller than the sum of its proper divisors (146397495).

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

134316105 is a wasteful number, since it uses less digits than its factorization.

134316105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 134316105 is about 11589.4825164888. The cubic root of 134316105 is about 512.1250622738.

Adding to 134316105 its reverse (501613431), we get a palindrome (635929536).

It can be divided in two parts, 134316 and 105, that added together give a triangular number (134421 = T518).

The spelling of 134316105 in words is "one hundred thirty-four million, three hundred sixteen thousand, one hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 37 49 55 77 105 111 147 165 185 231 245 259 385 407 449 539 555 735 777 1155 1221 1295 1347 1617 1813 2035 2245 2695 2849 3143 3885 4939 5439 6105 6735 8085 8547 9065 9429 14245 14817 15715 16613 19943 22001 24695 27195 34573 42735 47145 49839 59829 66003 74085 83065 99715 103719 110005 116291 172865 182743 242011 249195 299145 330015 348873 518595 548229 581455 726033 814037 913715 1210055 1279201 1744365 2442111 2741145 3630165 3837603 4070185 6396005 8954407 12210555 19188015 26863221 44772035 134316105