Search a number
-
+
13211000424340 = 22517113343857377
BaseRepresentation
bin1100000000111110110011…
…1111001100011110010100
31201202221220100000200002121
43000033230333030132110
53212422112102034330
644033014431545324
72532314622536365
oct300175477143624
951687810020077
1013211000424340
114233832369584
12159446938b244
1374aa3b020104
143395b7087b6c
1517d9ad73117a
hexc03ecfcc794

13211000424340 has 48 divisors (see below), whose sum is σ = 29635004265552. Its totient is φ = 4929539342336.

The previous prime is 13211000424283. The next prime is 13211000424343. The reversal of 13211000424340 is 4342400011231.

It can be written as a sum of positive squares in 8 ways, for example, as 47469951376 + 13163530472964 = 217876^2 + 3628158^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13211000424343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171890269 + ... + 171967108.

It is an arithmetic number, because the mean of its divisors is an integer number (617395922199).

Almost surely, 213211000424340 is an apocalyptic number.

13211000424340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13211000424340 is an abundant number, since it is smaller than the sum of its proper divisors (16424003841212).

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

13211000424340 is a wasteful number, since it uses less digits than its factorization.

13211000424340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343857516 (or 343857514 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 13211000424340 its reverse (4342400011231), we get a palindrome (17553400435571).

The spelling of 13211000424340 in words is "thirteen trillion, two hundred eleven billion, four hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 113 170 226 340 452 565 1130 1921 2260 3842 7684 9605 19210 38420 343857377 687714754 1375429508 1719286885 3438573770 5845575409 6877147540 11691150818 23382301636 29227877045 38855883601 58455754090 77711767202 116911508180 155423534404 194279418005 388558836010 660550021217 777117672020 1321100042434 2642200084868 3302750106085 6605500212170 13211000424340