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13140201220 = 2254793137077
BaseRepresentation
bin11000011110011011…
…11000111100000100
31020220202121101101021
430033031320330010
5203402342414340
610011520040524
7643424603356
oct141715707404
936822541337
1013140201220
115633334733
122668763144
13131544c7c3
148c92230d6
1551d8e7e4a
hex30f378f04

13140201220 has 24 divisors (see below), whose sum is σ = 27600381144. Its totient is φ = 5254945536.

The previous prime is 13140201211. The next prime is 13140201227. The reversal of 13140201220 is 2210204131.

13140201220 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 4 ways, for example, as 424030464 + 12716170756 = 20592^2 + 112766^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13140201194 and 13140201203.

It is not an unprimeable number, because it can be changed into a prime (13140201227) 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, 27322 + ... + 164398.

It is an arithmetic number, because the mean of its divisors is an integer number (1150015881).

Almost surely, 213140201220 is an apocalyptic number.

13140201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13140201220 is an abundant number, since it is smaller than the sum of its proper divisors (14460179924).

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

13140201220 is a wasteful number, since it uses less digits than its factorization.

13140201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141879 (or 141877 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13140201220 its reverse (2210204131), we get a palindrome (15350405351).

The spelling of 13140201220 in words is "thirteen billion, one hundred forty million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 4793 9586 19172 23965 47930 95860 137077 274154 548308 685385 1370770 2741540 657010061 1314020122 2628040244 3285050305 6570100610 13140201220