Search a number
-
+
13300341010000 = 245411499242309
BaseRepresentation
bin1100000110001011101000…
…0110011110111001010000
31202002111111122002122210121
43001202322012132321100
53220403044244310000
644142031534440024
72541626564146222
oct301427206367120
952074448078717
1013300341010000
114268708840940
1215a9841363014
137562a8343295
1433da50574412
15180e8bc55b1a
hexc18ba19ee50

13300341010000 has 200 divisors, whose sum is σ = 35199404460000. Its totient is φ = 4826775360000.

The previous prime is 13300341009941. The next prime is 13300341010003. The reversal of 13300341010000 is 1014300331.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300341010003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54768846 + ... + 55011154.

It is an arithmetic number, because the mean of its divisors is an integer number (175997022300).

Almost surely, 213300341010000 is an apocalyptic number.

13300341010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13300341010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17599702230000).

13300341010000 is an abundant number, since it is smaller than the sum of its proper divisors (21899063450000).

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

13300341010000 is a wasteful number, since it uses less digits than its factorization.

13300341010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242847 (or 242826 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13300341010000 its reverse (1014300331), we get a palindrome (13301355310331).

The spelling of 13300341010000 in words is "thirteen trillion, three hundred billion, three hundred forty-one million, ten thousand".