Search a number
-
+
2122132131 = 32728357977
BaseRepresentation
bin111111001111101…
…0010101010100011
312110220011111000100
41332133102222203
513321231212011
6550324353443
7103405553100
oct17637225243
95426144010
102122132131
11999985309
124b2845883
1327a8698b2
14161babaa7
15c6489d56
hex7e7d2aa3

2122132131 has 36 divisors (see below), whose sum is σ = 3608782632. Its totient is φ = 1198016064.

The previous prime is 2122132057. The next prime is 2122132183. The reversal of 2122132131 is 1312312212.

It is not a de Polignac number, because 2122132131 - 218 = 2121869987 is a prime.

It is a super-2 number, since 2×21221321312 = 9006889562845202322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2122132631) 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 35 ways as a sum of consecutive naturals, for example, 7615 + ... + 65591.

It is an arithmetic number, because the mean of its divisors is an integer number (100243962).

Almost surely, 22122132131 is an apocalyptic number.

2122132131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2122132131 is a deficient number, since it is larger than the sum of its proper divisors (1486650501).

2122132131 is a wasteful number, since it uses less digits than its factorization.

2122132131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58080 (or 58070 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2122132131 is about 46066.6053774315. The cubic root of 2122132131 is about 1285.0621742641.

Adding to 2122132131 its reverse (1312312212), we get a palindrome (3434444343).

The spelling of 2122132131 in words is "two billion, one hundred twenty-two million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 49 63 83 147 249 441 581 747 1743 4067 5229 12201 36603 57977 173931 405839 521793 1217517 2840873 3652551 4812091 8522619 14436273 25567857 33684637 43308819 101053911 235792459 303161733 707377377 2122132131