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20323233300321 = 3274124140979823
BaseRepresentation
bin1001001111011110111110…
…00110011111111101100001
32122221212211001221110212100
410213233133012133331201
510130433440211102241
6111120210421321013
74165206444523560
oct447573706377541
978855731843770
1020323233300321
116526042410786
122342941866169
13b4561b618013
14503914c5bbd7
152539c208a9b6
hex127bdf19ff61

20323233300321 has 96 divisors (see below), whose sum is σ = 34595159639040. Its totient is φ = 11255285145600.

The previous prime is 20323233300283. The next prime is 20323233300341. The reversal of 20323233300321 is 12300333232302.

20323233300321 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 3 + 2 + 3 + 330 + 0 + 321 = 666.

It is not a de Polignac number, because 20323233300321 - 26 = 20323233300257 is a prime.

It is a super-3 number, since 3×203232333003213 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20323233300341) 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 95 ways as a sum of consecutive naturals, for example, 254563816 + ... + 254643638.

It is an arithmetic number, because the mean of its divisors is an integer number (360366246240).

Almost surely, 220323233300321 is an apocalyptic number.

20323233300321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20323233300321 is a deficient number, since it is larger than the sum of its proper divisors (14271926338719).

20323233300321 is a wasteful number, since it uses less digits than its factorization.

20323233300321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80527 (or 80524 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 20323233300321 its reverse (12300333232302), we get a palindrome (32623566532623).

The spelling of 20323233300321 in words is "twenty trillion, three hundred twenty-three billion, two hundred thirty-three million, three hundred thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 41 63 123 241 287 369 409 723 861 1227 1687 2169 2583 2863 3681 5061 8589 9881 15183 16769 25767 29643 50307 69167 79823 88929 98569 117383 150921 207501 239469 295707 352149 558761 622503 689983 718407 887121 1056447 1676283 2069949 3272743 4041329 5028849 6209847 9818229 12123987 19237343 22909201 28289303 29454687 32647607 36371961 57712029 68727603 84867909 97942821 134661401 173136087 206182809 228533249 254603727 293828463 403984203 685599747 788731063 1211952609 1338551887 2056799241 2366193189 4015655661 5521117441 7098579567 7868073287 9369863209 12046966983 16563352323 23604219861 28109589627 49690056969 55076513009 70812659583 84328768881 165229539027 322591004767 495688617081 967773014301 2258137033369 2903319042903 6774411100107 20323233300321