Search a number
-
+
13201221345 = 351371953501
BaseRepresentation
bin11000100101101101…
…01010011011100001
31021002000102112020220
430102312222123201
5204014003040340
610021535553253
7645065346534
oct142266523341
937060375226
1013201221345
115664821a94
12268508b829
131324c95ba0
148d3388a1b
15523e4ced0
hex312daa6e1

13201221345 has 32 divisors (see below), whose sum is σ = 23067120384. Its totient is φ = 6407520000.

The previous prime is 13201221311. The next prime is 13201221373. The reversal of 13201221345 is 54312210231.

13201221345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13201221345 - 213 = 13201213153 is a prime.

It is a super-3 number, since 3×132012213453 (a number of 31 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 462906 + ... + 490595.

It is an arithmetic number, because the mean of its divisors is an integer number (720847512).

Almost surely, 213201221345 is an apocalyptic number.

13201221345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13201221345 is a deficient number, since it is larger than the sum of its proper divisors (9865899039).

13201221345 is a wasteful number, since it uses less digits than its factorization.

13201221345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953593.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 13201221345 its reverse (54312210231), we get a palindrome (67513431576).

The spelling of 13201221345 in words is "thirteen billion, two hundred one million, two hundred twenty-one thousand, three hundred forty-five".

Divisors: 1 3 5 13 15 39 65 71 195 213 355 923 1065 2769 4615 13845 953501 2860503 4767505 12395513 14302515 37186539 61977565 67698571 185932695 203095713 338492855 880081423 1015478565 2640244269 4400407115 13201221345