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13111241301 = 322923746817
BaseRepresentation
bin11000011010111110…
…11010101001010101
31020211202010001211200
430031133122221111
5203322434210201
610005003223113
7642623466204
oct141537325125
936752101750
1013111241301
115618a54714
12265ab17a99
13130c450062
148c544523b
1551b0c7386
hex30d7daa55

13111241301 has 36 divisors (see below), whose sum is σ = 20144568132. Its totient is φ = 8211151872.

The previous prime is 13111241263. The next prime is 13111241317. The reversal of 13111241301 is 10314211131.

It is a happy number.

13111241301 is a `hidden beast` number, since 1 + 311 + 12 + 41 + 301 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1829615076 + 11281626225 = 42774^2 + 106215^2 .

It is not a de Polignac number, because 13111241301 - 26 = 13111241237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13111241201) 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 35 ways as a sum of consecutive naturals, for example, 256645 + ... + 303461.

It is an arithmetic number, because the mean of its divisors is an integer number (559571337).

Almost surely, 213111241301 is an apocalyptic number.

It is an amenable number.

13111241301 is a deficient number, since it is larger than the sum of its proper divisors (7033326831).

13111241301 is a wasteful number, since it uses less digits than its factorization.

13111241301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46918 (or 46886 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13111241301 its reverse (10314211131), we get a palindrome (23425452432).

The spelling of 13111241301 in words is "thirteen billion, one hundred eleven million, two hundred forty-one thousand, three hundred one".

Divisors: 1 3 9 29 37 87 111 261 333 841 1073 2523 3219 7569 9657 31117 46817 93351 140451 280053 421353 1357693 1732229 4073079 5196687 12219237 15590061 39373097 50234641 118119291 150703923 354357873 452111769 1456804589 4370413767 13111241301