Search a number
-
+
13340201310 = 233549408153
BaseRepresentation
bin11000110110010001…
…10101000101011110
31021102200221102221000
430123020311011132
5204310042420220
610043422451130
7651403561122
oct143310650536
937380842830
1013340201310
115726217767
122703733aa6
131347a06b57
14907a05582
15531252390
hex31b23515e

13340201310 has 32 divisors (see below), whose sum is σ = 35573870880. Its totient is φ = 3557386944.

The previous prime is 13340201293. The next prime is 13340201317. The reversal of 13340201310 is 1310204331.

13340201310 is a `hidden beast` number, since 1 + 334 + 0 + 20 + 1 + 310 = 666.

13340201310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133402013102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13340201317) 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 15 ways as a sum of consecutive naturals, for example, 24703807 + ... + 24704346.

It is an arithmetic number, because the mean of its divisors is an integer number (1111683465).

Almost surely, 213340201310 is an apocalyptic number.

13340201310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13340201310 is an abundant number, since it is smaller than the sum of its proper divisors (22233669570).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13340201310 is a wasteful number, since it uses less digits than its factorization.

13340201310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49408169 (or 49408163 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13340201310 its reverse (1310204331), we get a palindrome (14650405641).

The spelling of 13340201310 in words is "thirteen billion, three hundred forty million, two hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 49408153 98816306 148224459 247040765 296448918 444673377 494081530 741122295 889346754 1334020131 1482244590 2223366885 2668040262 4446733770 6670100655 13340201310