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9130701375 = 335367149271
BaseRepresentation
bin10001000000011101…
…10111001000111111
3212120100000200121000
420200032313020333
5122144424421000
64110010341343
7442160452425
oct104016671077
925510020530
109130701375
1139660520a4
121929a2a853
13b268830a3
14628919115
153868e8000
hex2203b723f

9130701375 has 128 divisors (see below), whose sum is σ = 17312256000. Its totient is φ = 4747248000.

The previous prime is 9130701347. The next prime is 9130701383. The reversal of 9130701375 is 5731070319.

9130701375 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9130701375 - 211 = 9130699327 is a prime.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 33692490 + ... + 33692760.

It is an arithmetic number, because the mean of its divisors is an integer number (135252000).

Almost surely, 29130701375 is an apocalyptic number.

9130701375 is a deficient number, since it is larger than the sum of its proper divisors (8181554625).

9130701375 is a wasteful number, since it uses less digits than its factorization.

9130701375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 19845, while the sum is 36.

The square root of 9130701375 is about 95554.7035733982. The cubic root of 9130701375 is about 2090.1047218270.

The spelling of 9130701375 in words is "nine billion, one hundred thirty million, seven hundred one thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 45 67 75 125 135 149 201 225 271 335 375 447 603 675 745 813 1005 1125 1341 1355 1675 1809 2235 2439 3015 3375 3725 4023 4065 5025 6705 6775 7317 8375 9045 9983 11175 12195 15075 18157 18625 20115 20325 25125 29949 33525 33875 36585 40379 45225 49915 54471 55875 60975 75375 89847 90785 100575 101625 121137 149745 163413 167625 182925 201895 226125 249575 269541 272355 304875 363411 449235 453925 490239 502875 605685 748725 817065 914625 1009475 1090233 1247875 1347705 1361775 1817055 2246175 2269625 2451195 2705393 3028425 3743625 4085325 5047375 5451165 6738525 6808875 8116179 9085275 11230875 12255975 13526965 15142125 20426625 24348537 27255825 33692625 40580895 45426375 61279875 67634825 73045611 121742685 136279125 202904475 338174125 365228055 608713425 1014522375 1826140275 3043567125 9130701375