Search a number
-
+
22540511311 is a prime number
BaseRepresentation
bin10100111111100001…
…001110100001001111
32011011212221121121021
4110333201032201033
5332130332330221
614204401215011
71425401120263
oct247741164117
964155847537
1022540511311
11961759284a
124450931467
132182b1c576
14113b8800a3
158bdcea041
hex53f84e84f

22540511311 has 2 divisors, whose sum is σ = 22540511312. Its totient is φ = 22540511310.

The previous prime is 22540511303. The next prime is 22540511317. The reversal of 22540511311 is 11311504522.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 22540511311 - 23 = 22540511303 is a prime.

It is a super-2 number, since 2×225405113112 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22540511317) 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 as a sum of consecutive naturals, namely, 11270255655 + 11270255656.

It is an arithmetic number, because the mean of its divisors is an integer number (11270255656).

Almost surely, 222540511311 is an apocalyptic number.

22540511311 is a deficient number, since it is larger than the sum of its proper divisors (1).

22540511311 is an equidigital number, since it uses as much as digits as its factorization.

22540511311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1200, while the sum is 25.

The spelling of 22540511311 in words is "twenty-two billion, five hundred forty million, five hundred eleven thousand, three hundred eleven".