Search a number
-
+
2131637221 = 731103283337
BaseRepresentation
bin111111100001110…
…0011001111100101
312111120001101112201
41333003203033211
513331144342341
6551304214501
7103552421530
oct17703431745
95446041481
102131637221
119a428765a
124b5a6a431
1327c8170cc
14163163a17
15c7216331
hex7f0e33e5

2131637221 has 32 divisors (see below), whose sum is σ = 2555691008. Its totient is φ = 1739646720.

The previous prime is 2131637213. The next prime is 2131637231. The reversal of 2131637221 is 1227361312.

It is not a de Polignac number, because 2131637221 - 23 = 2131637213 is a prime.

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 2131637221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131637231) 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 31 ways as a sum of consecutive naturals, for example, 6325165 + ... + 6325501.

It is an arithmetic number, because the mean of its divisors is an integer number (79865344).

Almost surely, 22131637221 is an apocalyptic number.

It is an amenable number.

2131637221 is a deficient number, since it is larger than the sum of its proper divisors (424053787).

2131637221 is a wasteful number, since it uses less digits than its factorization.

2131637221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761.

The product of its digits is 3024, while the sum is 28.

The square root of 2131637221 is about 46169.6569296329. The cubic root of 2131637221 is about 1286.9779268426.

Adding to 2131637221 its reverse (1227361312), we get a palindrome (3358998533).

The spelling of 2131637221 in words is "two billion, one hundred thirty-one million, six hundred thirty-seven thousand, two hundred twenty-one".

Divisors: 1 7 31 103 217 283 337 721 1981 2359 3193 8773 10447 22351 29149 34711 61411 73129 95371 204043 242977 667597 903619 1076041 2956501 6325333 7532287 9823213 20695507 68762491 304519603 2131637221