Search a number
-
+
4121513253 = 3311213531831
BaseRepresentation
bin1111010110101001…
…0100110100100101
3101122020100120022000
43311222110310211
531420101411003
61520550155513
7204064166424
oct36552246445
911566316260
104121513253
111825539a00
12970352b99
13508b58350
142b15452bb
15191c791a3
hexf5a94d25

4121513253 has 96 divisors (see below), whose sum is σ = 7368157440. Its totient is φ = 2261001600.

The previous prime is 4121513203. The next prime is 4121513261. The reversal of 4121513253 is 3523151214.

4121513253 is a `hidden beast` number, since 4 + 121 + 513 + 25 + 3 = 666.

It is not a de Polignac number, because 4121513253 - 210 = 4121512229 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4121513203) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2250048 + ... + 2251878.

It is an arithmetic number, because the mean of its divisors is an integer number (76751640).

Almost surely, 24121513253 is an apocalyptic number.

It is an amenable number.

4121513253 is a deficient number, since it is larger than the sum of its proper divisors (3246644187).

4121513253 is a wasteful number, since it uses less digits than its factorization.

4121513253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1911 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 4121513253 is about 64199.0128662427. The cubic root of 4121513253 is about 1603.3151644598.

Adding to 4121513253 its reverse (3523151214), we get a palindrome (7644664467).

The spelling of 4121513253 in words is "four billion, one hundred twenty-one million, five hundred thirteen thousand, two hundred fifty-three".

Divisors: 1 3 9 11 13 27 33 39 53 99 117 121 143 159 297 351 363 429 477 583 689 1089 1287 1431 1573 1749 1831 2067 3267 3861 4719 5247 5493 6201 6413 7579 14157 15741 16479 18603 19239 20141 22737 23803 42471 49437 57717 60423 68211 71409 83369 97043 173151 181269 204633 214227 221551 250107 261833 291129 543807 642681 664653 750321 785499 873387 1067473 1261559 1993959 2250963 2356497 2620161 2880163 3202419 3784677 5981877 7069491 8640489 9607257 11354031 11742203 13877149 25921467 28821771 34062093 35226609 41631447 77764401 105679827 124894341 152648639 317039481 374683023 457945917 1373837751 4121513253