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13405113127 = 78212332541
BaseRepresentation
bin11000111110000000…
…11100101100100111
31021121020002022012101
430133000130230213
5204423202110002
610054102032531
7653122403320
oct143700345447
937536068171
1013405113127
11575992299a
122721418747
1313582b3703
149124a1447
15536cc5587
hex31f01cb27

13405113127 has 8 divisors (see below), whose sum is σ = 15338796192. Its totient is φ = 11476096800.

The previous prime is 13405113103. The next prime is 13405113167. The reversal of 13405113127 is 72131150431.

13405113127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13405113127 - 227 = 13270895399 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13405113095 and 13405113104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13405113167) 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 7 ways as a sum of consecutive naturals, for example, 1160524 + ... + 1172017.

It is an arithmetic number, because the mean of its divisors is an integer number (1917349524).

Almost surely, 213405113127 is an apocalyptic number.

13405113127 is a deficient number, since it is larger than the sum of its proper divisors (1933683065).

13405113127 is an equidigital number, since it uses as much as digits as its factorization.

13405113127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333369.

The product of its (nonzero) digits is 2520, while the sum is 28.

Adding to 13405113127 its reverse (72131150431), we get a palindrome (85536263558).

The spelling of 13405113127 in words is "thirteen billion, four hundred five million, one hundred thirteen thousand, one hundred twenty-seven".

Divisors: 1 7 821 5747 2332541 16327787 1915016161 13405113127