Search a number
-
+
13412410137 = 337193735007
BaseRepresentation
bin11000111110111000…
…10010001100011001
31021121201211000211000
430133130102030121
5204432034111022
610054522255213
7653241414360
oct143734221431
937551730730
1013412410137
115762a57285
122723957509
131359969b79
149134407d7
155377676ac
hex31f712319

13412410137 has 32 divisors (see below), whose sum is σ = 23904051200. Its totient is φ = 7260851664.

The previous prime is 13412410133. The next prime is 13412410171. The reversal of 13412410137 is 73101421431.

13412410137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13412410137 - 22 = 13412410133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 13412410137.

It is not an unprimeable number, because it can be changed into a prime (13412410133) 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 31 ways as a sum of consecutive naturals, for example, 1863913 + ... + 1871094.

It is an arithmetic number, because the mean of its divisors is an integer number (747001600).

Almost surely, 213412410137 is an apocalyptic number.

It is an amenable number.

13412410137 is a deficient number, since it is larger than the sum of its proper divisors (10491641063).

13412410137 is a wasteful number, since it uses less digits than its factorization.

13412410137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3735042 (or 3735036 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 13412410137 its reverse (73101421431), we get a palindrome (86513831568).

The spelling of 13412410137 in words is "thirteen billion, four hundred twelve million, four hundred ten thousand, one hundred thirty-seven".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 399 513 1197 3591 3735007 11205021 26145049 33615063 70965133 78435147 100845189 212895399 235305441 496755931 638686197 705916323 1490267793 1916058591 4470803379 13412410137