Search a number
-
+
313681095 = 325721331353
BaseRepresentation
bin10010101100100…
…110010011000111
3210212020122120100
4102230212103013
51120300243340
651043135143
710526150100
oct2254462307
9725218510
10313681095
11151079282
12890744b3
134ccab020
142d9353a7
151c812830
hex12b264c7

313681095 has 144 divisors (see below), whose sum is σ = 705100032. Its totient is φ = 127733760.

The previous prime is 313681063. The next prime is 313681103. The reversal of 313681095 is 590186313.

It is a happy number.

It is not a de Polignac number, because 313681095 - 25 = 313681063 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 888439 + ... + 888791.

It is an arithmetic number, because the mean of its divisors is an integer number (4896528).

Almost surely, 2313681095 is an apocalyptic number.

313681095 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

313681095 is an abundant number, since it is smaller than the sum of its proper divisors (391418937).

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

313681095 is a wasteful number, since it uses less digits than its factorization.

313681095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 313681095 is about 17711.0444356057. The cubic root of 313681095 is about 679.4582586883.

The spelling of 313681095 in words is "three hundred thirteen million, six hundred eighty-one thousand, ninety-five".

Divisors: 1 3 5 7 9 13 15 21 31 35 39 45 49 63 65 91 93 105 117 147 155 195 217 245 273 279 315 353 403 441 455 465 585 637 651 735 819 1059 1085 1209 1365 1395 1519 1765 1911 1953 2015 2205 2471 2821 3177 3185 3255 3627 4095 4557 4589 5295 5733 6045 7413 7595 8463 9555 9765 10943 12355 13671 13767 14105 15885 17297 18135 19747 22239 22785 22945 25389 28665 32123 32829 37065 41301 42315 51891 54715 59241 68355 68835 76601 86485 96369 98487 98735 111195 126945 142259 155673 160615 164145 177723 206505 224861 229803 259455 289107 296205 383005 426777 481845 492435 536207 674583 689409 711295 778365 888615 995813 1124305 1149015 1280331 1445535 1608621 2023749 2133885 2681035 2987439 3372915 3447045 4825863 4979065 6401655 6970691 8043105 8962317 10118745 14937195 20912073 24129315 34853455 44811585 62736219 104560365 313681095