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113251324210245 = 3251311171245713913
BaseRepresentation
bin11001110000000001100000…
…111100110010110001000101
3112211222201110111122202122100
4121300001200330302301011
5104321002202444211440
61040510535021222313
732566065250356654
oct3160014074626105
9484881414582570
10113251324210245
11330a3687073951
1210850a47401999
134b26728323ab0
141dd757146d19b
15d15dd8144230
hex670060f32c45

113251324210245 has 96 divisors (see below), whose sum is σ = 211623926203872. Its totient is φ = 55696108363776.

The previous prime is 113251324210243. The next prime is 113251324210261. The reversal of 113251324210245 is 542012423152311.

113251324210245 is a `hidden beast` number, since 1 + 1 + 32 + 51 + 324 + 2 + 10 + 245 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 46562035555044 + 66689288655201 = 6823638^2 + 8166351^2 .

It is not a de Polignac number, because 113251324210245 - 21 = 113251324210243 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113251324210243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8139957409 + ... + 8139971321.

It is an arithmetic number, because the mean of its divisors is an integer number (2204415897957).

Almost surely, 2113251324210245 is an apocalyptic number.

113251324210245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113251324210245 is a deficient number, since it is larger than the sum of its proper divisors (98372601993627).

113251324210245 is a wasteful number, since it uses less digits than its factorization.

113251324210245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27511 (or 27508 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 113251324210245 its reverse (542012423152311), we get a palindrome (655263747362556).

The spelling of 113251324210245 in words is "one hundred thirteen trillion, two hundred fifty-one billion, three hundred twenty-four million, two hundred ten thousand, two hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 1117 3351 5585 10053 12457 13913 14521 16755 37371 41739 43563 50265 62285 69565 72605 112113 125217 130689 161941 180869 186855 208695 217815 485823 542607 560565 626085 653445 809705 904345 1457469 1627821 2429115 2713035 7287345 8139105 13914469 15540821 41743407 46622463 69572345 77704105 125230221 139867389 173314241 180888097 202030673 208717035 233112315 519942723 542664291 606092019 626151105 699336945 866571205 904440485 1010153365 1559828169 1627992873 1818276057 2253085133 2599713615 2713321455 3030460095 6759255399 7799140845 8139964365 9091380285 11265425665 20277766197 33796276995 101388830985 193592007197 580776021591 967960035985 1742328064773 2516696093561 2903880107955 7550088280683 8711640323865 12583480467805 22650264842049 37750441403415 113251324210245