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10014440121 = 3272176592027
BaseRepresentation
bin10010101001110100…
…00011101010111001
3221211220221021020200
421110322003222321
5131002144040441
64333420112413
7503111223300
oct112472035271
927756837220
1010014440121
1142799880a4
121b35995709
13c379a501a
146b0041437
153d92b17b6
hex254e83ab9

10014440121 has 72 divisors (see below), whose sum is σ = 17852646240. Its totient is φ = 5375091456.

The previous prime is 10014440119. The next prime is 10014440131. The reversal of 10014440121 is 12104441001.

10014440121 is a `hidden beast` number, since 100 + 1 + 4 + 440 + 121 = 666.

10014440121 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 10014440121 - 21 = 10014440119 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10014440094 and 10014440103.

It is not an unprimeable number, because it can be changed into a prime (10014440131) 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 71 ways as a sum of consecutive naturals, for example, 4939510 + ... + 4941536.

It is an arithmetic number, because the mean of its divisors is an integer number (247953420).

Almost surely, 210014440121 is an apocalyptic number.

It is an amenable number.

10014440121 is a deficient number, since it is larger than the sum of its proper divisors (7838206119).

10014440121 is a wasteful number, since it uses less digits than its factorization.

10014440121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10014440121 its reverse (12104441001), we get a palindrome (22118881122).

The spelling of 10014440121 in words is "ten billion, fourteen million, four hundred forty thousand, one hundred twenty-one".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 357 441 659 833 1071 1977 2027 2499 4613 5931 6081 7497 11203 13839 14189 18243 32291 33609 34459 41517 42567 78421 96873 99323 100827 103377 127701 235263 241213 290619 297969 310131 548947 705789 723639 893907 1335793 1646841 1688491 2170917 4007379 4940523 5065473 9350551 12022137 15196419 22708481 28051653 65453857 68125443 84154959 158959367 196361571 204376329 476878101 589084713 1112715569 1430634303 3338146707 10014440121