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13523400401 = 73595381377
BaseRepresentation
bin11001001100000111…
…01011011011010001
31021220110122220211112
430212003223123101
5210143442303101
610113525223105
7656060002220
oct144603533321
937813586745
1013523400401
11580a674975
122754b61a95
13137695ab94
14924092cb7
1554238d6bb
hex3260eb6d1

13523400401 has 8 divisors (see below), whose sum is σ = 15498368640. Its totient is φ = 11559195648.

The previous prime is 13523400389. The next prime is 13523400409. The reversal of 13523400401 is 10400432531.

13523400401 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 13523400401 - 230 = 12449658577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13523400409) 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, 2688176 + ... + 2693201.

It is an arithmetic number, because the mean of its divisors is an integer number (1937296080).

Almost surely, 213523400401 is an apocalyptic number.

It is an amenable number.

13523400401 is a deficient number, since it is larger than the sum of its proper divisors (1974968239).

13523400401 is an equidigital number, since it uses as much as digits as its factorization.

13523400401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5381743.

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 13523400401 its reverse (10400432531), we get a palindrome (23923832932).

The spelling of 13523400401 in words is "thirteen billion, five hundred twenty-three million, four hundred thousand, four hundred one".

Divisors: 1 7 359 2513 5381377 37669639 1931914343 13523400401