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10024211041 = 1317437183179
BaseRepresentation
bin10010101010111110…
…10101001001100001
3221212121022200102121
421111133111021201
5131012144223131
64334405344241
7503260250035
oct112537251141
927777280377
1010024211041
114284451139
121b39108081
13c39a16530
146b14661c5
153da091911
hex2557d5261

10024211041 has 64 divisors (see below), whose sum is σ = 12070840320. Its totient is φ = 8239150080.

The previous prime is 10024211027. The next prime is 10024211063. The reversal of 10024211041 is 14011242001.

It is a happy number.

10024211041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10024211041 - 213 = 10024202849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10024211441) 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 63 ways as a sum of consecutive naturals, for example, 56001090 + ... + 56001268.

It is an arithmetic number, because the mean of its divisors is an integer number (188606880).

Almost surely, 210024211041 is an apocalyptic number.

It is an amenable number.

10024211041 is a deficient number, since it is larger than the sum of its proper divisors (2046629279).

10024211041 is a wasteful number, since it uses less digits than its factorization.

10024211041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10024211041 its reverse (14011242001), we get a palindrome (24035453042).

The spelling of 10024211041 in words is "ten billion, twenty-four million, two hundred eleven thousand, forty-one".

Divisors: 1 13 17 43 71 83 179 221 559 731 923 1079 1207 1411 2327 3043 3053 3569 5893 7697 9503 12709 14857 15691 18343 39559 39689 46397 51901 60673 76609 100061 100181 130849 165217 193141 216053 252569 253399 546487 638851 674713 788749 1054847 1302353 1701037 2808689 3283397 3294187 4307783 7104331 8305063 9290279 10860467 13713011 17932399 45358421 56001179 120773627 141186071 233121187 589659473 771093157 10024211041