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8100117 = 3223109359
BaseRepresentation
bin11110111001100100010101
3120020112021100
4132321210111
54033200432
6445340313
7125564334
oct36714425
916215240
108100117
114632813
122867699
1318a7b8c
14110bd1b
15aa007c
hex7b9915

8100117 has 24 divisors (see below), whose sum is σ = 12355200. Its totient is φ = 5103648.

The previous prime is 8100097. The next prime is 8100133. The reversal of 8100117 is 7110018.

It is a de Polignac number, because none of the positive numbers 2k-8100117 is a prime.

It is a super-2 number, since 2×81001172 = 131223790827378, which contains 22 as substring.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 8100117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8100167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22384 + ... + 22742.

It is an arithmetic number, because the mean of its divisors is an integer number (514800).

Almost surely, 28100117 is an apocalyptic number.

It is an amenable number.

8100117 is a deficient number, since it is larger than the sum of its proper divisors (4255083).

8100117 is a wasteful number, since it uses less digits than its factorization.

8100117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 8100117 is about 2846.0704488821. The cubic root of 8100117 is about 200.8308519787.

Subtracting from 8100117 its reverse (7110018), we obtain a palindrome (990099).

It can be divided in two parts, 810011 and 7, that added together give a palindrome (810018).

The spelling of 8100117 in words is "eight million, one hundred thousand, one hundred seventeen".

Divisors: 1 3 9 23 69 109 207 327 359 981 1077 2507 3231 7521 8257 22563 24771 39131 74313 117393 352179 900013 2700039 8100117