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11125435321 = 7111341307883
BaseRepresentation
bin10100101110010000…
…01010101110111001
31001201100110200011001
422113020022232321
5140241102412241
65035544405001
7542461432330
oct122710125671
931640420131
1011125435321
11479a022250
1221a5a76761
131083c05530
14777802d17
15451aba431
hex29720abb9

11125435321 has 64 divisors (see below), whose sum is σ = 15369209856. Its totient is φ = 7772889600.

The previous prime is 11125435319. The next prime is 11125435333. The reversal of 11125435321 is 12353452111.

11125435321 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 11125435321 - 21 = 11125435319 is a prime.

It is a super-3 number, since 3×111254353213 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 11125435321.

It is not an unprimeable number, because it can be changed into a prime (11125435301) 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, 12599146 + ... + 12600028.

It is an arithmetic number, because the mean of its divisors is an integer number (240143904).

Almost surely, 211125435321 is an apocalyptic number.

11125435321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11125435321 is a deficient number, since it is larger than the sum of its proper divisors (4243774535).

11125435321 is a wasteful number, since it uses less digits than its factorization.

11125435321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262.

The product of its digits is 3600, while the sum is 28.

Adding to 11125435321 its reverse (12353452111), we get a palindrome (23478887432).

The spelling of 11125435321 in words is "eleven billion, one hundred twenty-five million, four hundred thirty-five thousand, three hundred twenty-one".

Divisors: 1 7 11 13 41 77 91 143 287 307 451 533 883 1001 2149 3157 3377 3731 3991 5863 6181 9713 11479 12587 23639 27937 36203 41041 43901 67991 80353 88109 126269 138457 163631 253421 271081 307307 398233 470639 883883 969199 1145417 1799941 1897567 2787631 2981891 3294473 3524053 5177029 11114321 12599587 20873237 24668371 36239203 38764583 77800247 122257531 144486173 271352081 855802717 1011403211 1589347903 11125435321