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10024330041 = 351117593739
BaseRepresentation
bin10010101010111111…
…10010001100111001
3221212121112201200000
421111133302030321
5131012212030131
64334412103213
7503261254005
oct112537621471
927777481600
1010024330041
114284522590
121b39164b09
13c39a5874b
146b1497705
153da0b6ce6
hex2557f2339

10024330041 has 96 divisors (see below), whose sum is σ = 17643225600. Its totient is φ = 5619559680.

The previous prime is 10024330031. The next prime is 10024330133. The reversal of 10024330041 is 14003342001.

It is not a de Polignac number, because 10024330041 - 26 = 10024329977 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10024329996 and 10024330023.

It is not an unprimeable number, because it can be changed into a prime (10024330021) 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 95 ways as a sum of consecutive naturals, for example, 2679150 + ... + 2682888.

It is an arithmetic number, because the mean of its divisors is an integer number (183783600).

Almost surely, 210024330041 is an apocalyptic number.

10024330041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10024330041 is a deficient number, since it is larger than the sum of its proper divisors (7618895559).

10024330041 is a wasteful number, since it uses less digits than its factorization.

10024330041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3841 (or 3829 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10024330041 its reverse (14003342001), we get a palindrome (24027672042).

The spelling of 10024330041 in words is "ten billion, twenty-four million, three hundred thirty thousand, forty-one".

Divisors: 1 3 9 11 17 27 33 51 59 81 99 153 177 187 243 297 459 531 561 649 891 1003 1377 1593 1683 1947 2673 3009 3739 4131 4779 5049 5841 9027 11033 11217 14337 15147 17523 27081 33099 33651 41129 45441 52569 63563 81243 99297 100953 123387 157707 190689 220601 243729 297891 302859 370161 572067 661803 699193 893673 908577 1110483 1716201 1985409 2097579 2426611 2681019 3331449 3750217 5148603 5956227 6292737 7279833 9994347 11250651 15445809 17868681 18878211 21839499 33751953 41252387 53606043 56634633 65518497 101255859 123757161 169903899 196555491 303767577 371271483 589666473 911302731 1113814449 3341443347 10024330041