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333130005 = 325135211093
BaseRepresentation
bin10011110110110…
…010100100010101
3212012211202110100
4103312302210111
51140240130010
653020044313
711153362335
oct2366624425
9765752410
10333130005
1116105255a
1293693699
135402a660
14323590c5
151e3a52c0
hex13db2915

333130005 has 48 divisors (see below), whose sum is σ = 623606256. Its totient is φ = 163537920.

The previous prime is 333129949. The next prime is 333130013. The reversal of 333130005 is 500031333.

It can be written as a sum of positive squares in 8 ways, for example, as 651249 + 332478756 = 807^2 + 18234^2 .

It is not a de Polignac number, because 333130005 - 216 = 333064469 is a prime.

It is a super-2 number, since 2×3331300052 = 221951200462600050, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 333130005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 304239 + ... + 305331.

It is an arithmetic number, because the mean of its divisors is an integer number (12991797).

Almost surely, 2333130005 is an apocalyptic number.

It is an amenable number.

333130005 is a deficient number, since it is larger than the sum of its proper divisors (290476251).

333130005 is a wasteful number, since it uses less digits than its factorization.

333130005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 18.

The square root of 333130005 is about 18251.8493583527. The cubic root of 333130005 is about 693.2202656834.

Adding to 333130005 its reverse (500031333), we get a palindrome (833161338).

The spelling of 333130005 in words is "three hundred thirty-three million, one hundred thirty thousand, five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 521 585 1093 1563 2605 3279 4689 5465 6773 7815 9837 14209 16395 20319 23445 33865 42627 49185 60957 71045 101595 127881 213135 304785 569453 639405 1708359 2847265 5125077 7402889 8541795 22208667 25625385 37014445 66626001 111043335 333130005