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13114141101 = 321457126789
BaseRepresentation
bin11000011011010100…
…11110100110101101
31020211221120101121200
430031222132212231
5203324210003401
610005145320113
7642660234345
oct141552364655
936757511550
1013114141101
11561a655346
12265ba96039
13130cc26c09
148c599bd25
1551b49b686
hex30da9e9ad

13114141101 has 6 divisors (see below), whose sum is σ = 18942648270. Its totient is φ = 8742760728.

The previous prime is 13114141093. The next prime is 13114141111. The reversal of 13114141101 is 10114141131.

It can be written as a sum of positive squares in only one way, i.e., 11427396201 + 1686744900 = 106899^2 + 41070^2 .

It is not a de Polignac number, because 13114141101 - 23 = 13114141093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13114141111) 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 5 ways as a sum of consecutive naturals, for example, 728563386 + ... + 728563403.

It is an arithmetic number, because the mean of its divisors is an integer number (3157108045).

Almost surely, 213114141101 is an apocalyptic number.

It is an amenable number.

13114141101 is a deficient number, since it is larger than the sum of its proper divisors (5828507169).

13114141101 is a wasteful number, since it uses less digits than its factorization.

13114141101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457126795 (or 1457126792 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 13114141101 its reverse (10114141131), we get a palindrome (23228282232).

The spelling of 13114141101 in words is "thirteen billion, one hundred fourteen million, one hundred forty-one thousand, one hundred one".

Divisors: 1 3 9 1457126789 4371380367 13114141101