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13113003311 = 1917319920047
BaseRepresentation
bin11000011011001100…
…01000110100101111
31020211212102120212022
430031212020310233
5203323412101221
610005105100355
7642644455232
oct141546106457
936755376768
1013113003311
115619a48521
12265b6276bb
13130c919075
148c5783419
1551b3244ab
hex30d988d2f

13113003311 has 16 divisors (see below), whose sum is σ = 13953408000. Its totient is φ = 12288358368.

The previous prime is 13113003307. The next prime is 13113003353. The reversal of 13113003311 is 11330031131.

13113003311 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 13113003311 - 22 = 13113003307 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13113003311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13113000311) 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 15 ways as a sum of consecutive naturals, for example, 644090 + ... + 664136.

It is an arithmetic number, because the mean of its divisors is an integer number (872088000).

Almost surely, 213113003311 is an apocalyptic number.

13113003311 is a deficient number, since it is larger than the sum of its proper divisors (840404689).

13113003311 is a wasteful number, since it uses less digits than its factorization.

13113003311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20438.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 13113003311 its reverse (11330031131), we get a palindrome (24443034442).

The spelling of 13113003311 in words is "thirteen billion, one hundred thirteen million, three thousand, three hundred eleven".

Divisors: 1 19 173 199 3287 3781 20047 34427 380893 654113 3468131 3989353 65894489 75797707 690158069 13113003311