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20130133130333 = 809108612291017
BaseRepresentation
bin1001001001110111010010…
…11011110011110001011101
32122021102101120220110202122
410210323221123303301131
510114303003040132313
6110451353330432325
74145232315255212
oct444735133636135
978242346813678
1020130133130333
1164611613a6a36
122311430a326a5
13b3035692bac5
144d843729db09
1524d96e745708
hex124ee96f3c5d

20130133130333 has 8 divisors (see below), whose sum is σ = 20156880387960. Its totient is φ = 20103390478080.

The previous prime is 20130133130287. The next prime is 20130133130389. The reversal of 20130133130333 is 33303133103102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5016403911289 + 15113729219044 = 2239733^2 + 3887638^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20130133130333 - 28 = 20130133130077 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 (20130133130633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7641041 + ... + 9932057.

It is an arithmetic number, because the mean of its divisors is an integer number (2519610048495).

Almost surely, 220130133130333 is an apocalyptic number.

It is an amenable number.

20130133130333 is a deficient number, since it is larger than the sum of its proper divisors (26747257627).

20130133130333 is a wasteful number, since it uses less digits than its factorization.

20130133130333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302687.

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 20130133130333 its reverse (33303133103102), we get a palindrome (53433266233435).

The spelling of 20130133130333 in words is "twenty trillion, one hundred thirty billion, one hundred thirty-three million, one hundred thirty thousand, three hundred thirty-three".

Divisors: 1 809 10861 2291017 8786549 1853432753 24882735637 20130133130333