Search a number
-
+
13200210401 = 72299289381
BaseRepresentation
bin11000100101100101…
…10011100111100001
31021001221112011111112
430102302303213201
5204013223213101
610021502153105
7645053636300
oct142262634741
937057464445
1013200210401
1156641a14a4
122684882795
131324a009b1
148d31a4437
15523ced6bb
hex312cb39e1

13200210401 has 12 divisors (see below), whose sum is σ = 15884843220. Its totient is φ = 10924310880.

The previous prime is 13200210383. The next prime is 13200210407. The reversal of 13200210401 is 10401200231.

13200210401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9288333376 + 3911877025 = 96376^2 + 62545^2 .

It is not a de Polignac number, because 13200210401 - 210 = 13200209377 is a prime.

It is a super-3 number, since 3×132002104013 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13200210407) 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 11 ways as a sum of consecutive naturals, for example, 4643270 + ... + 4646111.

It is an arithmetic number, because the mean of its divisors is an integer number (1323736935).

Almost surely, 213200210401 is an apocalyptic number.

It is an amenable number.

13200210401 is a deficient number, since it is larger than the sum of its proper divisors (2684632819).

13200210401 is an equidigital number, since it uses as much as digits as its factorization.

13200210401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9289424 (or 9289417 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 13200210401 its reverse (10401200231), we get a palindrome (23601410632).

The spelling of 13200210401 in words is "thirteen billion, two hundred million, two hundred ten thousand, four hundred one".

Divisors: 1 7 29 49 203 1421 9289381 65025667 269392049 455179669 1885744343 13200210401