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13112213301 = 3211211627709
BaseRepresentation
bin11000011011000110…
…00111111100110101
31020211210221110011200
430031203013330311
5203323211311201
610005040123113
7642634655055
oct141543077465
936753843150
1013112213301
115619558a20
12265b306499
13130c7005c5
148c5619565
1551b21a386
hex30d8c7f35

13112213301 has 24 divisors (see below), whose sum is σ = 20759625120. Its totient is φ = 7909120800.

The previous prime is 13112213293. The next prime is 13112213327. The reversal of 13112213301 is 10331221131.

13112213301 is a `hidden beast` number, since 1 + 311 + 2 + 21 + 330 + 1 = 666.

It is not a de Polignac number, because 13112213301 - 23 = 13112213293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13112213341) 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 23 ways as a sum of consecutive naturals, for example, 292966 + ... + 334743.

It is an arithmetic number, because the mean of its divisors is an integer number (864984380).

Almost surely, 213112213301 is an apocalyptic number.

13112213301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13112213301 is a deficient number, since it is larger than the sum of its proper divisors (7647411819).

13112213301 is a wasteful number, since it uses less digits than its factorization.

13112213301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627937 (or 627934 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13112213301 its reverse (10331221131), we get a palindrome (23443434432).

The spelling of 13112213301 in words is "thirteen billion, one hundred twelve million, two hundred thirteen thousand, three hundred one".

Divisors: 1 3 9 11 33 99 211 633 1899 2321 6963 20889 627709 1883127 5649381 6904799 20714397 62143191 132446599 397339797 1192019391 1456912589 4370737767 13112213301