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111713035225 = 521125921032
BaseRepresentation
bin110100000001010011…
…1011010001111011001
3101200100110210011221011
41220002213122033121
53312242014111400
6123153102013521
711033232063151
oct1500247321731
9350313704834
10111713035225
1143417106900
12197985772a1
13a6c438b70c
14559a8dd761
152d8c6c38ba
hex1a029da3d9

111713035225 has 81 divisors (see below), whose sum is σ = 156404904159. Its totient is φ = 79093370400.

The previous prime is 111713035193. The next prime is 111713035229. The reversal of 111713035225 is 522530317111.

It is a happy number.

The square root of 111713035225 is 334235.

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., 40216692681 + 71496342544 = 200541^2 + 267388^2 .

It is not a de Polignac number, because 111713035225 - 25 = 111713035193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111713035229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1084592524 + ... + 1084592626.

Almost surely, 2111713035225 is an apocalyptic number.

111713035225 is the 334235-th square number.

111713035225 is the 167118-th centered octagonal number.

It is an amenable number.

111713035225 is a deficient number, since it is larger than the sum of its proper divisors (44691868934).

111713035225 is an equidigital number, since it uses as much as digits as its factorization.

111713035225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 31.

The spelling of 111713035225 in words is "one hundred eleven billion, seven hundred thirteen million, thirty-five thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 59 103 121 275 295 515 605 649 1133 1475 2575 3025 3245 3481 5665 6077 7139 10609 12463 16225 17405 28325 30385 35695 38291 53045 62315 66847 87025 116699 151925 178475 191455 265225 311575 334235 358543 421201 583495 625931 735317 957275 1283689 1671175 1792715 2106005 2917475 3129655 3676585 3943973 6418445 6885241 8963575 10530025 15648275 18382925 19719865 32092225 34426205 36929929 43383703 75737651 98599325 172131025 184649645 216918515 378688255 406229219 923248225 1084592575 1893441275 2031146095 4468521409 10155730475 22342607045 111713035225