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203021123301 = 34191035712243
BaseRepresentation
bin1011110100010100000…
…0000111111011100101
3201102000220001122120000
42331011000013323211
511311241401421201
6233133331131513
720445024034443
oct2750500077345
9642026048500
10203021123301
1179112149917
123341b443b99
13161b61bb1b9
149b7d425b93
1554337dbd86
hex2f45007ee5

203021123301 has 80 divisors (see below), whose sum is σ = 323048394240. Its totient is φ = 126700083360.

The previous prime is 203021123297. The next prime is 203021123309. The reversal of 203021123301 is 103321120302.

203021123301 is a `hidden beast` number, since 20 + 302 + 1 + 12 + 330 + 1 = 666.

203021123301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 203021123301 - 22 = 203021123297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203021123309) 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 79 ways as a sum of consecutive naturals, for example, 90512086 + ... + 90514328.

It is an arithmetic number, because the mean of its divisors is an integer number (4038104928).

Almost surely, 2203021123301 is an apocalyptic number.

It is an amenable number.

203021123301 is a deficient number, since it is larger than the sum of its proper divisors (120027270939).

203021123301 is a wasteful number, since it uses less digits than its factorization.

203021123301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 203021123301 its reverse (103321120302), we get a palindrome (306342243603).

The spelling of 203021123301 in words is "two hundred three billion, twenty-one million, one hundred twenty-three thousand, three hundred one".

Divisors: 1 3 9 19 27 57 81 103 171 309 513 571 927 1539 1713 1957 2243 2781 5139 5871 6729 8343 10849 15417 17613 20187 32547 42617 46251 52839 58813 60561 97641 127851 158517 176439 181683 231029 292923 383553 529317 693087 878769 1117447 1150659 1280753 1587951 2079261 3352341 3451977 3842259 4389551 4763853 6237783 10057023 11526777 13168653 18713349 24334307 30171069 34580331 39505959 73002921 90513207 103740993 118517877 131917559 219008763 355553631 395752677 657026289 1187258031 1971078867 2506433621 3561774093 7519300863 10685322279 22557902589 67673707767 203021123301