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11125125 = 3253112931
BaseRepresentation
bin101010011100…
…000110000101
3202221012210200
4222130012011
510322001000
61034241113
7163363524
oct52340605
922835720
1011125125
116309520
123886199
1323c6a1b
1416984bb
15e9b500
hexa9c185

11125125 has 96 divisors (see below), whose sum is σ = 23362560. Its totient is φ = 5040000.

The previous prime is 11125117. The next prime is 11125129. The reversal of 11125125 is 52152111.

It is not a de Polignac number, because 11125125 - 23 = 11125117 is a prime.

It is a super-5 number, since 5×111251255 (a number of 36 digits) contains 55555 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11125098 and 11125107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11125129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 358860 + ... + 358890.

It is an arithmetic number, because the mean of its divisors is an integer number (243360).

Almost surely, 211125125 is an apocalyptic number.

11125125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11125125 is an abundant number, since it is smaller than the sum of its proper divisors (12237435).

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

11125125 is a wasteful number, since it uses less digits than its factorization.

11125125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 79 counting only the distinct ones).

The product of its digits is 100, while the sum is 18.

The square root of 11125125 is about 3335.4347542712. The cubic root of 11125125 is about 223.2380908707.

Adding to 11125125 its reverse (52152111), we get a palindrome (63277236).

The spelling of 11125125 in words is "eleven million, one hundred twenty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 29 31 33 45 55 75 87 93 99 125 145 155 165 225 261 275 279 319 341 375 435 465 495 725 775 825 899 957 1023 1125 1305 1375 1395 1595 1705 2175 2325 2475 2697 2871 3069 3625 3875 4125 4495 4785 5115 6525 6975 7975 8091 8525 9889 10875 11625 12375 13485 14355 15345 22475 23925 25575 29667 32625 34875 39875 40455 42625 49445 67425 71775 76725 89001 112375 119625 127875 148335 202275 247225 337125 358875 383625 445005 741675 1011375 1236125 2225025 3708375 11125125