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11024000013 = 3131719875129
BaseRepresentation
bin10100100010001010…
…01110010000001101
31001110021121020001210
422101011032100031
5140034121000023
65021522325033
7540120311505
oct122105162015
931407536053
1011024000013
114747840414
122177ab9779
131068bab640
1476815aa05
15447c30593
hex29114e40d

11024000013 has 32 divisors (see below), whose sum is σ = 17642620800. Its totient is φ = 6048884736.

The previous prime is 11024000011. The next prime is 11024000033. The reversal of 11024000013 is 31000042011.

It is a happy number.

It is not a de Polignac number, because 11024000013 - 21 = 11024000011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11024000011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424968 + ... + 450161.

It is an arithmetic number, because the mean of its divisors is an integer number (551331900).

Almost surely, 211024000013 is an apocalyptic number.

11024000013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11024000013 is a deficient number, since it is larger than the sum of its proper divisors (6618620787).

11024000013 is a wasteful number, since it uses less digits than its factorization.

11024000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875181.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11024000013 its reverse (31000042011), we get a palindrome (42024042024).

The spelling of 11024000013 in words is "eleven billion, twenty-four million, thirteen", and thus it is an aban number.

Divisors: 1 3 13 17 19 39 51 57 221 247 323 663 741 969 4199 12597 875129 2625387 11376677 14877193 16627451 34130031 44631579 49882353 193403509 216156863 282666667 580210527 648470589 848000001 3674666671 11024000013