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11144125025 = 5211235929863
BaseRepresentation
bin10100110000011110…
…11101101001100001
31001202122122012121022
422120033131221201
5140310344000100
65041453135225
7543106333265
oct123017355141
931678565538
1011144125025
1147a9628090
1221b018a515
131087a4a427
1477a0aa0a5
1545355ce85
hex2983dda61

11144125025 has 48 divisors (see below), whose sum is σ = 15997547520. Its totient is φ = 7620782400.

The previous prime is 11144125019. The next prime is 11144125049. The reversal of 11144125025 is 52052144111.

It is a happy number.

11144125025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-11144125025 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11144124985 and 11144125003.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 358244 + ... + 388106.

It is an arithmetic number, because the mean of its divisors is an integer number (333282240).

Almost surely, 211144125025 is an apocalyptic number.

It is an amenable number.

11144125025 is a deficient number, since it is larger than the sum of its proper divisors (4853422495).

11144125025 is a wasteful number, since it uses less digits than its factorization.

11144125025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29966 (or 29961 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

Adding to 11144125025 its reverse (52052144111), we get a palindrome (63196269136).

The spelling of 11144125025 in words is "eleven billion, one hundred forty-four million, one hundred twenty-five thousand, twenty-five".

Divisors: 1 5 11 23 25 55 59 115 253 275 295 575 649 1265 1357 1475 3245 6325 6785 14927 16225 29863 33925 74635 149315 328493 373175 686849 746575 1642465 1761917 3434245 7555339 8212325 8809585 17171225 19381087 37776695 40524091 44047925 96905435 188883475 202620455 445765001 484527175 1013102275 2228825005 11144125025