Search a number
-
+
2141004013 = 23432164817
BaseRepresentation
bin111111110011101…
…0010000011101101
312112012200021100221
41333213102003231
513341044112023
6552241051341
7104025143131
oct17747220355
95465607327
102141004013
119a95a5005
124b9026b51
132817466a5
141644c13c1
15c7e6685d
hex7f9d20ed

2141004013 has 8 divisors (see below), whose sum is σ = 2286047808. Its totient is φ = 2000289984.

The previous prime is 2141003993. The next prime is 2141004017. The reversal of 2141004013 is 3104001412.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2141004013 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 (2141004017) 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, 1081420 + ... + 1083397.

It is an arithmetic number, because the mean of its divisors is an integer number (285755976).

Almost surely, 22141004013 is an apocalyptic number.

2141004013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2141004013 is a deficient number, since it is larger than the sum of its proper divisors (145043795).

2141004013 is a wasteful number, since it uses less digits than its factorization.

2141004013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164883.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2141004013 is about 46270.9845691660. The cubic root of 2141004013 is about 1288.8602422061.

Adding to 2141004013 its reverse (3104001412), we get a palindrome (5245005425).

The spelling of 2141004013 in words is "two billion, one hundred forty-one million, four thousand, thirteen".

Divisors: 1 23 43 989 2164817 49790791 93087131 2141004013