Search a number
-
+
13435244801 = 112111035081
BaseRepresentation
bin11001000001100110…
…11001000100000001
31021200022210011002022
430200303121010001
5210003410313201
610101055531225
7653636460626
oct144063310401
937608704068
1013435244801
115774933300
12272b529b15
1313616035c4
149164a634d
1553977841b
hex320cd9101

13435244801 has 6 divisors (see below), whose sum is σ = 14767665906. Its totient is φ = 12213858800.

The previous prime is 13435244773. The next prime is 13435244813. The reversal of 13435244801 is 10844253431.

It can be written as a sum of positive squares in only one way, i.e., 7582229776 + 5853015025 = 87076^2 + 76505^2 .

It is not a de Polignac number, because 13435244801 - 210 = 13435243777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13435244821) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55517420 + ... + 55517661.

It is an arithmetic number, because the mean of its divisors is an integer number (2461277651).

Almost surely, 213435244801 is an apocalyptic number.

13435244801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13435244801 is a deficient number, since it is larger than the sum of its proper divisors (1332421105).

13435244801 is a wasteful number, since it uses less digits than its factorization.

13435244801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111035103 (or 111035092 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 13435244801 in words is "thirteen billion, four hundred thirty-five million, two hundred forty-four thousand, eight hundred one".

Divisors: 1 11 121 111035081 1221385891 13435244801