Search a number
-
+
11353240125 = 335327112413
BaseRepresentation
bin10101001001011010…
…01011001000111101
31002022020010100121000
422210231023020331
5141222412141000
65114323200513
7551225643303
oct124455131075
932266110530
1011353240125
1148a6676387
12224a216139
1310bc176586
14799b82273
15466ab8000
hex2a4b4b23d

11353240125 has 64 divisors (see below), whose sum is σ = 21070033920. Its totient is φ = 6032232000.

The previous prime is 11353240123. The next prime is 11353240133. The reversal of 11353240125 is 52104235311.

11353240125 is a `hidden beast` number, since 1 + 1 + 3 + 532 + 4 + 0 + 125 = 666.

11353240125 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 11353240125 - 21 = 11353240123 is a prime.

It is a super-2 number, since 2×113532401252 (a number of 21 digits) contains 22 as substring.

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 (11353240121) 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 63 ways as a sum of consecutive naturals, for example, 908419 + ... + 920831.

It is an arithmetic number, because the mean of its divisors is an integer number (329219280).

Almost surely, 211353240125 is an apocalyptic number.

11353240125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11353240125 is a deficient number, since it is larger than the sum of its proper divisors (9716793795).

11353240125 is a wasteful number, since it uses less digits than its factorization.

11353240125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12708 (or 12692 counting only the distinct ones).

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

Adding to 11353240125 its reverse (52104235311), we get a palindrome (63457475436).

The spelling of 11353240125 in words is "eleven billion, three hundred fifty-three million, two hundred forty thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 125 135 225 271 375 675 813 1125 1355 2439 3375 4065 6775 7317 12195 12413 20325 33875 36585 37239 60975 62065 101625 111717 182925 186195 304875 310325 335151 558585 914625 930975 1551625 1675755 2792925 3363923 4654875 8378775 10091769 13964625 16819615 30275307 41893875 50458845 84098075 90825921 151376535 252294225 420490375 454129605 756882675 1261471125 2270648025 3784413375 11353240125