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11525034010125 = 3531910119382981
BaseRepresentation
bin1010011110110110000110…
…0011101110011000001101
31111210210010102202212111010
42213231201203232120031
53002311232201311000
640302305540315433
72266441041504156
oct247554143563015
944723112685433
1011525034010125
113743815272779
1213617666a2b79
13657a62b5566c
142bbb5947692d
1514ebd4e7bd50
hexa7b618ee60d

11525034010125 has 128 divisors (see below), whose sum is σ = 20492756743680. Its totient is φ = 5735577600000.

The previous prime is 11525034010051. The next prime is 11525034010141. The reversal of 11525034010125 is 52101043052511.

It is not a de Polignac number, because 11525034010125 - 27 = 11525034009997 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11525034010092 and 11525034010101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 138846135 + ... + 138929115.

It is an arithmetic number, because the mean of its divisors is an integer number (160099662060).

Almost surely, 211525034010125 is an apocalyptic number.

11525034010125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11525034010125 is a deficient number, since it is larger than the sum of its proper divisors (8967722733555).

11525034010125 is a wasteful number, since it uses less digits than its factorization.

11525034010125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83312 (or 83302 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

Adding to 11525034010125 its reverse (52101043052511), we get a palindrome (63626077062636).

The spelling of 11525034010125 in words is "eleven trillion, five hundred twenty-five billion, thirty-four million, ten thousand, one hundred twenty-five".

Divisors: 1 3 5 15 19 25 57 75 95 101 125 193 285 303 375 475 505 579 965 1425 1515 1919 2375 2525 2895 3667 4825 5757 7125 7575 9595 11001 12625 14475 18335 19493 24125 28785 37875 47975 55005 58479 72375 82981 91675 97465 143925 239875 248943 275025 292395 370367 414905 458375 487325 719625 1111101 1244715 1375125 1461975 1576639 1851835 2074525 2436625 4729917 5555505 6223575 7309875 7883195 8381081 9259175 10372625 16015333 23649585 25143243 27777525 31117875 39415975 41905405 46295875 48045999 80076665 118247925 125716215 138887625 159240539 197079875 209527025 240229995 304291327 400383325 477721617 591239625 628581075 796202695 912873981 1047635125 1201149975 1521456635 1617548633 2001916625 2388608085 3142905375 3981013475 4564369905 4852645899 6005749875 7607283175 8087743165 11943040425 19905067375 22821849525 24263229495 30733424027 38036415875 40438715825 59715202125 92200272081 114109247625 121316147475 153667120135 202193579125 461001360405 606580737375 768335600675 2305006802025 3841678003375 11525034010125