Search a number
-
+
2430430134301 = 131131654479329
BaseRepresentation
bin100011010111100000111…
…011001100000000011101
322121100100212002012200001
4203113200323030000131
5304310010103244201
65100305120334301
7340410216164551
oct43274073140035
98540325065601
102430430134301
118578154a4504
1233304a174391
1314825b3ca230
14858c2267861
154334b167301
hex235e0ecc01d

2430430134301 has 8 divisors (see below), whose sum is σ = 2640549010680. Its totient is φ = 2223620216832.

The previous prime is 2430430134271. The next prime is 2430430134317. The reversal of 2430430134301 is 1034310340342.

It can be written as a sum of positive squares in 4 ways, for example, as 164580319225 + 2265849815076 = 405685^2 + 1505274^2 .

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 2430430134301 - 219 = 2430429610013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2430430134301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430430134331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 827238196 + ... + 827241133.

It is an arithmetic number, because the mean of its divisors is an integer number (330068626335).

Almost surely, 22430430134301 is an apocalyptic number.

It is an amenable number.

2430430134301 is a deficient number, since it is larger than the sum of its proper divisors (210118876379).

2430430134301 is a wasteful number, since it uses less digits than its factorization.

2430430134301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654479455.

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 2430430134301 its reverse (1034310340342), we get a palindrome (3464740474643).

The spelling of 2430430134301 in words is "two trillion, four hundred thirty billion, four hundred thirty million, one hundred thirty-four thousand, three hundred one".

Divisors: 1 13 113 1469 1654479329 21508231277 186956164177 2430430134301