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11310211241424 = 2432461170375561
BaseRepresentation
bin1010010010010101110100…
…0111111001010111010000
31111001020122001211111221100
42210211131013321113100
52440301303034211144
640015501143024400
72245064402215104
oct244453507712720
944036561744840
1011310211241424
1136706a7431007
121327bb2a3b100
13640718932044
142b15ba907904
15149310551269
hexa495d1f95d0

11310211241424 has 60 divisors (see below), whose sum is σ = 31721544386532. Its totient is φ = 3761892364800.

The previous prime is 11310211241393. The next prime is 11310211241443. The reversal of 11310211241424 is 42414211201311.

11310211241424 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 0 + 211 + 24 + 1 + 424 = 666.

11310211241424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5663124391824 + 5647086849600 = 2379732^2 + 2376360^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85121397 + ... + 85254164.

Almost surely, 211310211241424 is an apocalyptic number.

It is an amenable number.

11310211241424 is an abundant number, since it is smaller than the sum of its proper divisors (20411333145108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11310211241424 is a wasteful number, since it uses less digits than its factorization.

11310211241424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170376036 (or 170376027 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 11310211241424 its reverse (42414211201311), we get a palindrome (53724422442735).

The spelling of 11310211241424 in words is "eleven trillion, three hundred ten billion, two hundred eleven million, two hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 461 922 1383 1844 2766 3688 4149 5532 7376 8298 11064 16596 22128 33192 66384 170375561 340751122 511126683 681502244 1022253366 1363004488 1533380049 2044506732 2726008976 3066760098 4089013464 6133520196 8178026928 12267040392 24534080784 78543133621 157086267242 235629400863 314172534484 471258801726 628345068968 706888202589 942517603452 1256690137936 1413776405178 1885035206904 2827552810356 3770070413808 5655105620712 11310211241424