Search a number
-
+
2122023331 is a prime number
BaseRepresentation
bin111111001111011…
…1000000110100011
312110212221221202201
41332132320012203
513321214221311
6550322154031
7103404620641
oct17636700643
95425857681
102122023331
1199991059a
124b27b2917
1327a82c20c
14161b80191
15c64679c1
hex7e7b81a3

2122023331 has 2 divisors, whose sum is σ = 2122023332. Its totient is φ = 2122023330.

The previous prime is 2122023311. The next prime is 2122023389. The reversal of 2122023331 is 1333202212.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2122023331 is a prime.

It is a super-2 number, since 2×21220233312 = 9005966034616671122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2122023299 and 2122023308.

It is not a weakly prime, because it can be changed into another prime (2122023311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061011665 + 1061011666.

It is an arithmetic number, because the mean of its divisors is an integer number (1061011666).

Almost surely, 22122023331 is an apocalyptic number.

2122023331 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122023331 is an equidigital number, since it uses as much as digits as its factorization.

2122023331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 2122023331 is about 46065.4244634737. The cubic root of 2122023331 is about 1285.0402125223.

Adding to 2122023331 its reverse (1333202212), we get a palindrome (3455225543).

It can be divided in two parts, 21220 and 23331, that added together give a triangular number (44551 = T298).

The spelling of 2122023331 in words is "two billion, one hundred twenty-two million, twenty-three thousand, three hundred thirty-one".