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20212124854185 = 32511611729138713
BaseRepresentation
bin1001001100010000000001…
…00001011010011110101001
32122120021000201210121020200
410212020000201122132221
510122123412430313220
6110553153313542413
74154164203361665
oct446100041323651
978507021717220
1020212124854185
116492a06607690
1223252b3874a09
13b37cc25a0c34
144dc3b477b8a5
15250b6c9de890
hex12620085a7a9

20212124854185 has 96 divisors (see below), whose sum is σ = 38849086463616. Its totient is φ = 9638358912000.

The previous prime is 20212124854177. The next prime is 20212124854189. The reversal of 20212124854185 is 58145842121202.

20212124854185 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 2 + 1 + 24 + 8 + 541 + 85 = 666.

It is not a de Polignac number, because 20212124854185 - 23 = 20212124854177 is a prime.

It is a super-2 number, since 2×202121248541852 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 20212124854185.

It is not an unprimeable number, because it can be changed into a prime (20212124854189) 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, 522082389 + ... + 522121101.

It is an arithmetic number, because the mean of its divisors is an integer number (404677983996).

Almost surely, 220212124854185 is an apocalyptic number.

It is an amenable number.

20212124854185 is a deficient number, since it is larger than the sum of its proper divisors (18636961609431).

20212124854185 is a wasteful number, since it uses less digits than its factorization.

20212124854185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56087 (or 56084 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

Adding to 20212124854185 its reverse (58145842121202), we get a palindrome (78357966975387).

The spelling of 20212124854185 in words is "twenty trillion, two hundred twelve billion, one hundred twenty-four million, eight hundred fifty-four thousand, one hundred eighty-five".

Divisors: 1 3 5 9 11 15 33 45 55 61 99 165 183 305 495 549 671 915 2013 2745 3355 6039 10065 17291 30195 38713 51873 86455 116139 155619 190201 193565 259365 348417 425843 570603 580695 778095 951005 1054751 1277529 1711809 1742085 2129215 2361493 2853015 3164253 3832587 5273755 6387645 7084479 8559045 9492759 11602261 11807465 15821265 19162935 21253437 25976423 34806783 35422395 47463795 58011305 77929269 104420349 106267185 129882115 174033915 233787807 389646345 522101745 669386483 1168939035 2008159449 3346932415 6024478347 7363251313 10040797245 22089753939 30122391735 36816256565 40832575463 66269261817 110448769695 122497726389 204162877315 331346309085 367493179167 449158330093 612488631945 1347474990279 1837465895835 2245791650465 4042424970837 6737374951395 20212124854185