Search a number
-
+
22313210431 is a prime number
BaseRepresentation
bin10100110001111110…
…001001001000111111
32010121001020112102011
4110301332021020333
5331144140213211
614130041312051
71416641105431
oct246176111077
963531215364
1022313210431
119510253286
1243a8795627
1321479c69c5
1411195d2651
158a8d9b921
hex531f8923f

22313210431 has 2 divisors, whose sum is σ = 22313210432. Its totient is φ = 22313210430.

The previous prime is 22313210401. The next prime is 22313210467. The reversal of 22313210431 is 13401231322.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 22313210431 - 27 = 22313210303 is a prime.

It is a super-3 number, since 3×223132104313 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22313210401) 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, 11156605215 + 11156605216.

It is an arithmetic number, because the mean of its divisors is an integer number (11156605216).

Almost surely, 222313210431 is an apocalyptic number.

22313210431 is a deficient number, since it is larger than the sum of its proper divisors (1).

22313210431 is an equidigital number, since it uses as much as digits as its factorization.

22313210431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 22313210431 its reverse (13401231322), we get a palindrome (35714441753).

The spelling of 22313210431 in words is "twenty-two billion, three hundred thirteen million, two hundred ten thousand, four hundred thirty-one".