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300133125 = 3254229233
BaseRepresentation
bin10001111000111…
…010101100000101
3202220202100020200
4101320322230011
51103313230000
645440521113
710303042455
oct2170725405
9686670220
10300133125
11144465506
1284620199
134a246586
142bc09d65
151b538500
hex11e3ab05

300133125 has 60 divisors (see below), whose sum is σ = 546434460. Its totient is φ = 158688000.

The previous prime is 300133121. The next prime is 300133129. The reversal of 300133125 is 521331003.

It is an interprime number because it is at equal distance from previous prime (300133121) and next prime (300133129).

It can be written as a sum of positive squares in 10 ways, for example, as 203661441 + 96471684 = 14271^2 + 9822^2 .

It is not a de Polignac number, because 300133125 - 22 = 300133121 is a prime.

It is a super-3 number, since 3×3001331253 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 300133098 and 300133107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300133121) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1288009 + ... + 1288241.

It is an arithmetic number, because the mean of its divisors is an integer number (9107241).

Almost surely, 2300133125 is an apocalyptic number.

It is an amenable number.

300133125 is a deficient number, since it is larger than the sum of its proper divisors (246301335).

300133125 is a wasteful number, since it uses less digits than its factorization.

300133125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 300133125 is about 17324.3506371812. The cubic root of 300133125 is about 669.5319557296.

Adding to 300133125 its reverse (521331003), we get a palindrome (821464128).

The spelling of 300133125 in words is "three hundred million, one hundred thirty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 229 233 375 625 687 699 1125 1145 1165 1875 2061 2097 3435 3495 5625 5725 5825 10305 10485 17175 17475 28625 29125 51525 52425 53357 85875 87375 143125 145625 160071 257625 262125 266785 429375 436875 480213 800355 1288125 1310625 1333925 2401065 4001775 6669625 12005325 20008875 33348125 60026625 100044375 300133125