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11105998225 = 527230112
BaseRepresentation
bin10100101011111100…
…00001010110010001
31001122222220011110121
422111332001112101
5140221113420400
65034012030241
7542134266400
oct122576012621
931588804417
1011105998225
11478a056933
12219b462381
13107cb8b3aa
14774dc3637
1545002b21a
hex295f81591

11105998225 has 27 divisors (see below), whose sum is σ = 16025158011. Its totient is φ = 7613012400.

The previous prime is 11105998193. The next prime is 11105998229. The reversal of 11105998225 is 52289950111.

The square root of 11105998225 is 105385.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3998159361 + 7107838864 = 63231^2 + 84308^2 .

It is not a de Polignac number, because 11105998225 - 25 = 11105998193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11105998229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3686970 + ... + 3689980.

Almost surely, 211105998225 is an apocalyptic number.

11105998225 is the 105385-th square number.

11105998225 is the 52693-rd centered octagonal number.

It is an amenable number.

11105998225 is a deficient number, since it is larger than the sum of its proper divisors (4919159786).

11105998225 is an frugal number, since it uses more digits than its factorization.

11105998225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6046 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 43.

The spelling of 11105998225 in words is "eleven billion, one hundred five million, nine hundred ninety-eight thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 3011 15055 21077 75275 105385 147539 526925 737695 3688475 9066121 45330605 63462847 226653025 317314235 444239929 1586571175 2221199645 11105998225