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4120133325 = 3527112832521
BaseRepresentation
bin1111010110010100…
…0011111011001101
3101122010202110101120
43311211003323031
531414223231300
61520500431153
7204046361340
oct36545037315
911563673346
104120133325
111824787170
1296b9a84b9
13508794219
142b12a6457
15191aa53a0
hexf5943ecd

4120133325 has 96 divisors (see below), whose sum is σ = 8526216192. Its totient is φ = 1705536000.

The previous prime is 4120133323. The next prime is 4120133357. The reversal of 4120133325 is 5233310214.

It is not a de Polignac number, because 4120133325 - 21 = 4120133323 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4120133295 and 4120133304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4120133321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1633065 + ... + 1635585.

It is an arithmetic number, because the mean of its divisors is an integer number (88814752).

Almost surely, 24120133325 is an apocalyptic number.

It is an amenable number.

4120133325 is an abundant number, since it is smaller than the sum of its proper divisors (4406082867).

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

4120133325 is a wasteful number, since it uses less digits than its factorization.

4120133325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 4120133325 is about 64188.2646984634. The cubic root of 4120133325 is about 1603.1362086316.

Adding to 4120133325 its reverse (5233310214), we get a palindrome (9353443539).

The spelling of 4120133325 in words is "four billion, one hundred twenty million, one hundred thirty-three thousand, three hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 165 175 231 275 283 385 525 825 849 1155 1415 1925 1981 2521 3113 4245 5775 5943 7075 7563 9339 9905 12605 15565 17647 21225 21791 27731 29715 37815 46695 49525 52941 63025 65373 77825 83193 88235 108955 138655 148575 189075 194117 233475 264705 326865 415965 441175 544775 582351 693275 713443 970585 1323525 1634325 2079825 2140329 2911755 3567215 4852925 4994101 7847873 10701645 14558775 14982303 17836075 23543619 24970505 39239365 53508225 54935111 74911515 117718095 124852525 164805333 196196825 274675555 374557575 588590475 824026665 1373377775 4120133325