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11517121 = 711373401
BaseRepresentation
bin101011111011…
…110011000001
3210200010112001
4223323303001
510422021441
61050504001
7166615420
oct53736301
923603461
1011517121
116556a90
123a35001
132503285
14175b2b7
151027731
hexafbcc1

11517121 has 16 divisors (see below), whose sum is σ = 14433408. Its totient is φ = 8928000.

The previous prime is 11517119. The next prime is 11517133. The reversal of 11517121 is 12171511.

It is a 3-Lehmer number, since φ(11517121) divides (11517121-1)3.

It is a cyclic number.

It is not a de Polignac number, because 11517121 - 21 = 11517119 is a prime.

It is a super-2 number, since 2×115171212 = 265288152257282, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11517161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28521 + ... + 28921.

It is an arithmetic number, because the mean of its divisors is an integer number (902088).

Almost surely, 211517121 is an apocalyptic number.

11517121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11517121 is a deficient number, since it is larger than the sum of its proper divisors (2916287).

11517121 is a wasteful number, since it uses less digits than its factorization.

11517121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792.

The product of its digits is 70, while the sum is 19.

The square root of 11517121 is about 3393.6884064392. The cubic root of 11517121 is about 225.8298311783.

Adding to 11517121 its reverse (12171511), we get a palindrome (23688632).

The spelling of 11517121 in words is "eleven million, five hundred seventeen thousand, one hundred twenty-one".

Divisors: 1 7 11 77 373 401 2611 2807 4103 4411 28721 30877 149573 1047011 1645303 11517121