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21205412423335 = 5753167653104827
BaseRepresentation
bin1001101001001010001010…
…00100110010011010100111
32210002012212122121012122201
410310211011010302122213
510234412141040021320
6113033344301435331
74316016613405540
oct464450504623247
983065778535581
1021205412423335
11683618a541968
12246590186bb47
13baa87accb4aa
145344c15234c7
1526b904ce270a
hex1349451326a7

21205412423335 has 64 divisors (see below), whose sum is σ = 29853779945472. Its totient is φ = 14159218484736.

The previous prime is 21205412423257. The next prime is 21205412423353. The reversal of 21205412423335 is 53332421450212.

It is a cyclic number.

It is not a de Polignac number, because 21205412423335 - 225 = 21205378868903 is a prime.

It is a super-3 number, since 3×212054124233353 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21205412423294 and 21205412423303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202237192 + ... + 202342018.

It is an arithmetic number, because the mean of its divisors is an integer number (466465311648).

Almost surely, 221205412423335 is an apocalyptic number.

21205412423335 is a deficient number, since it is larger than the sum of its proper divisors (8648367522137).

21205412423335 is a wasteful number, since it uses less digits than its factorization.

21205412423335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105712.

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 21205412423335 its reverse (53332421450212), we get a palindrome (74537833873547).

The spelling of 21205412423335 in words is "twenty-one trillion, two hundred five billion, four hundred twelve million, four hundred twenty-three thousand, three hundred thirty-five".

Divisors: 1 5 7 35 53 167 265 371 653 835 1169 1855 3265 4571 5845 8851 22855 34609 44255 61957 104827 109051 173045 242263 309785 524135 545255 733789 763357 1211315 3668945 3816785 5555831 5779703 17506109 27779155 28898515 38890817 40457921 68452031 87530545 122542763 194454085 202289605 342260155 479164217 612713815 927823777 2395821085 3627957643 4639118885 6494766439 11431489177 18139788215 25395703501 32473832195 57157445885 80020424239 126978517505 400102121195 605868926381 3029344631905 4241082484667 21205412423335