Search a number
-
+
2132131211 = 71723779003
BaseRepresentation
bin111111100010101…
…1011110110001011
312111120222111011122
41333011123312023
513331311144321
6551322545455
7103556546660
oct17705336613
95446874148
102132131211
119a4594811
124b606828b
1327c95ac02
14163251a67
15c72b28ab
hex7f15bd8b

2132131211 has 16 divisors (see below), whose sum is σ = 2692237824. Its totient is φ = 1645252224.

The previous prime is 2132131193. The next prime is 2132131213. The reversal of 2132131211 is 1121312312.

It is a de Polignac number, because none of the positive numbers 2k-2132131211 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2132131211.

It is not an unprimeable number, because it can be changed into a prime (2132131213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386765 + ... + 392238.

It is an arithmetic number, because the mean of its divisors is an integer number (168264864).

Almost surely, 22132131211 is an apocalyptic number.

2132131211 is a deficient number, since it is larger than the sum of its proper divisors (560106613).

2132131211 is a wasteful number, since it uses less digits than its factorization.

2132131211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779050.

The product of its digits is 72, while the sum is 17.

The square root of 2132131211 is about 46175.0063454246. The cubic root of 2132131211 is about 1287.0773348024.

Adding to 2132131211 its reverse (1121312312), we get a palindrome (3253443523).

The spelling of 2132131211 in words is "two billion, one hundred thirty-two million, one hundred thirty-one thousand, two hundred eleven".

Divisors: 1 7 17 23 119 161 391 2737 779003 5453021 13243051 17917069 92701357 125419483 304590173 2132131211