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542103301245 = 351117193263209
BaseRepresentation
bin1111110001101111101…
…11111110110001111101
31220211021010000000122010
413320313313332301331
532340211421114440
61053012215041433
754110553013632
oct7706767766175
91824233000563
10542103301245
111999a51a9930
1289091370279
133c173ba598c
141c348c9a189
15e17c0d5580
hex7e37dfec7d

542103301245 has 32 divisors (see below), whose sum is σ = 1001876480640. Its totient is φ = 247376906240.

The previous prime is 542103301213. The next prime is 542103301249.

542103301245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542103301245 - 25 = 542103301213 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 (542103301249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96628800 + ... + 96634409.

It is an arithmetic number, because the mean of its divisors is an integer number (31308640020).

Almost surely, 2542103301245 is an apocalyptic number.

542103301245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542103301245 is a deficient number, since it is larger than the sum of its proper divisors (459773179395).

542103301245 is a wasteful number, since it uses less digits than its factorization.

542103301245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193263245.

The product of its (nonzero) digits is 14400, while the sum is 30.

It can be divided in two parts, 542103 and 301245, that added together give a palindrome (843348).

The spelling of 542103301245 in words is "five hundred forty-two billion, one hundred three million, three hundred one thousand, two hundred forty-five".

Divisors: 1 3 5 11 15 17 33 51 55 85 165 187 255 561 935 2805 193263209 579789627 966316045 2125895299 2898948135 3285474553 6377685897 9856423659 10629476495 16427372765 31888429485 36140220083 49282118295 108420660249 180701100415 542103301245