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11113255125 = 3253724492
BaseRepresentation
bin10100101100110011…
…01101000011010101
31001200111112212001200
422112121231003111
5140224443131000
65034431343113
7542253052500
oct122631550325
931614485050
1011113255125
114793163075
1221a1981a99
13108152c50b
14775d52137
154509b1500
hex29666d0d5

11113255125 has 108 divisors (see below), whose sum is σ = 23356287396. Its totient is φ = 5069030400.

The previous prime is 11113255081. The next prime is 11113255133. The reversal of 11113255125 is 52155231111.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11113255125 is a `hidden beast` number, since 1 + 11 + 132 + 5 + 512 + 5 = 666.

11113255125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2493803844 + 8619451281 = 49938^2 + 92841^2 .

It is not a de Polignac number, because 11113255125 - 26 = 11113255061 is a prime.

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 24750901 + ... + 24751349.

Almost surely, 211113255125 is an apocalyptic number.

11113255125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11113255125 is an abundant number, since it is smaller than the sum of its proper divisors (12243032271).

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

11113255125 is an frugal number, since it uses more digits than its factorization.

11113255125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 464 counting only the distinct ones).

The product of its digits is 1500, while the sum is 27.

Adding to 11113255125 its reverse (52155231111), we get a palindrome (63268486236).

The spelling of 11113255125 in words is "eleven billion, one hundred thirteen million, two hundred fifty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 125 147 175 225 245 315 375 441 449 525 735 875 1125 1225 1347 1575 2205 2245 2625 3143 3675 4041 6125 6735 7875 9429 11025 11225 15715 18375 20205 22001 28287 33675 47145 55125 56125 66003 78575 101025 110005 141435 168375 198009 201601 235725 330015 392875 505125 550025 604803 707175 990045 1008005 1178625 1411207 1650075 1814409 2750125 3024015 3535875 4233621 4950225 5040025 7056035 8250375 9072045 9878449 12700863 15120075 21168105 24751125 25200125 29635347 35280175 45360225 49392245 63504315 75600375 88906041 105840525 148176735 176400875 226801125 246961225 317521575 444530205 529202625 740883675 1234806125 1587607875 2222651025 3704418375 11113255125