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132131624225 = 5252091014641
BaseRepresentation
bin111101100001110101…
…0001001010100100001
3110122001110221222100012
41323003222021110201
54131101143433400
6140411143134305
712355226163146
oct1730352112441
9418043858305
10132131624225
1151044947a47
1221736744395
13c5c96b5a43
1465766283cd
153685075d35
hex1ec3a89521

132131624225 has 12 divisors (see below), whose sum is σ = 163874829420. Its totient is φ = 105684902400.

The previous prime is 132131624213. The next prime is 132131624237. The reversal of 132131624225 is 522426131231.

It is an interprime number because it is at equal distance from previous prime (132131624213) and next prime (132131624237).

It can be written as a sum of positive squares in 6 ways, for example, as 25388279569 + 106743344656 = 159337^2 + 326716^2 .

It is not a de Polignac number, because 132131624225 - 218 = 132131362081 is a prime.

It is a super-3 number, since 3×1321316242253 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 132131624191 and 132131624200.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 377096 + ... + 637545.

It is an arithmetic number, because the mean of its divisors is an integer number (13656235785).

Almost surely, 2132131624225 is an apocalyptic number.

It is an amenable number.

132131624225 is a deficient number, since it is larger than the sum of its proper divisors (31743205195).

132131624225 is a wasteful number, since it uses less digits than its factorization.

132131624225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019860 (or 1019855 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

Adding to 132131624225 its reverse (522426131231), we get a palindrome (654557755456).

The spelling of 132131624225 in words is "one hundred thirty-two billion, one hundred thirty-one million, six hundred twenty-four thousand, two hundred twenty-five".

Divisors: 1 5 25 5209 26045 130225 1014641 5073205 25366025 5285264969 26426324845 132131624225