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132102225 = 33522367127
BaseRepresentation
bin1111101111110…
…11100001010001
3100012120111012000
413313323201101
5232304232400
621035224213
73162564453
oct767734121
9305514160
10132102225
11686283a2
12382a8069
13214a35c8
141378a2d3
15b8e6600
hex7dfb851

132102225 has 96 divisors (see below), whose sum is σ = 259031040. Its totient is φ = 65862720.

The previous prime is 132102211. The next prime is 132102227. The reversal of 132102225 is 522201231.

It is not a de Polignac number, because 132102225 - 27 = 132102097 is a prime.

It is a super-3 number, since 3×1321022253 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132102198 and 132102207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132102227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1040112 + ... + 1040238.

It is an arithmetic number, because the mean of its divisors is an integer number (2698240).

Almost surely, 2132102225 is an apocalyptic number.

132102225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132102225 is a deficient number, since it is larger than the sum of its proper divisors (126928815).

132102225 is a wasteful number, since it uses less digits than its factorization.

132102225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 132102225 is about 11493.5732041868. The cubic root of 132102225 is about 509.2957407384.

Adding to 132102225 its reverse (522201231), we get a palindrome (654303456).

The spelling of 132102225 in words is "one hundred thirty-two million, one hundred two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 27 45 67 69 75 115 127 135 201 207 225 335 345 381 575 603 621 635 675 1005 1035 1143 1541 1675 1725 1809 1905 2921 3015 3105 3175 3429 4623 5025 5175 5715 7705 8509 8763 9045 9525 13869 14605 15075 15525 17145 23115 25527 26289 28575 38525 41607 42545 43815 45225 69345 73025 76581 78867 85725 115575 127635 131445 195707 208035 212725 219075 229743 346725 382905 394335 587121 638175 657225 978535 1040175 1148715 1761363 1914525 1971675 2935605 4892675 5284089 5743575 8806815 14678025 26420445 44034075 132102225