Search a number
-
+
13105403311399 = 719313361945733
BaseRepresentation
bin1011111010110101011011…
…1010001011010100100111
31201101212100002102112022121
42332231112322023110213
53204204331221431044
643512312243210411
72521556053100350
oct276552672132447
951355302375277
1013105403311399
1141a2a7456a703
121577ab9076a07
13740aaca57329
1433443a930d27
1517ad7ce42984
hexbeb56e8b527

13105403311399 has 32 divisors (see below), whose sum is σ = 16279335464960. Its totient is φ = 10295616844800.

The previous prime is 13105403311321. The next prime is 13105403311411. The reversal of 13105403311399 is 99311330450131.

It is not a de Polignac number, because 13105403311399 - 213 = 13105403303207 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13105403317399) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13384537 + ... + 14330269.

It is an arithmetic number, because the mean of its divisors is an integer number (508729233280).

Almost surely, 213105403311399 is an apocalyptic number.

13105403311399 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

13105403311399 is a deficient number, since it is larger than the sum of its proper divisors (3173932153561).

13105403311399 is a wasteful number, since it uses less digits than its factorization.

13105403311399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949151.

The product of its (nonzero) digits is 131220, while the sum is 43.

The spelling of 13105403311399 in words is "thirteen trillion, one hundred five billion, four hundred three million, three hundred eleven thousand, three hundred ninety-nine".

Divisors: 1 7 19 31 133 217 589 3361 4123 23527 63859 104191 447013 729337 945733 1979629 6620131 13857403 17968927 29317723 125782489 205224061 557036737 3178608613 3899257159 22250260291 60393563647 98536867003 422754945529 689758069021 1872200473057 13105403311399