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1442101223121 = 3131737431367137
BaseRepresentation
bin10100111111000011111…
…011100101111011010001
312002212022111212112012220
4110333003323211323101
5142111410403114441
63022254150011253
7206121420100536
oct24770373457321
95085274775186
101442101223121
115066565aa369
121b35a4946b29
13a5cb30b4c10
144db25ca0d8d
15277a4351466
hex14fc3ee5ed1

1442101223121 has 64 divisors (see below), whose sum is σ = 2304141573888. Its totient is φ = 793770098688.

The previous prime is 1442101223111. The next prime is 1442101223137. The reversal of 1442101223121 is 1213221012441.

It is not a de Polignac number, because 1442101223121 - 223 = 1442092834513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1442101223091 and 1442101223100.

It is not an unprimeable number, because it can be changed into a prime (1442101223111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 371265 + ... + 1738401.

It is an arithmetic number, because the mean of its divisors is an integer number (36002212092).

Almost surely, 21442101223121 is an apocalyptic number.

It is an amenable number.

1442101223121 is a deficient number, since it is larger than the sum of its proper divisors (862040350767).

1442101223121 is a wasteful number, since it uses less digits than its factorization.

1442101223121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367250.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1442101223121 its reverse (1213221012441), we get a palindrome (2655322235562).

The spelling of 1442101223121 in words is "one trillion, four hundred forty-two billion, one hundred one million, two hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 13 17 37 39 43 51 111 129 221 481 559 629 663 731 1443 1591 1677 1887 2193 4773 8177 9503 20683 24531 27047 28509 62049 81141 351611 1054833 1367137 4101411 17772781 23241329 50584069 53318343 58786891 69723987 151752207 176360673 302137277 657592897 764229583 859929173 906411831 999377147 1972778691 2175114967 2292688749 2579787519 2998131441 6525344901 11179079249 12991902911 28276494571 33537237747 36976954439 38975708733 84829483713 110930863317 480700407707 1442101223121