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22322412001 is a prime number
BaseRepresentation
bin10100110010100001…
…001111100111100001
32010121200120000121001
4110302201033213201
5331204014141001
614131010432001
71420112241241
oct246241174741
963550500531
1022322412001
11951546858a
1243ab892601
132149899016
14111a909b21
158a9ab8001
hex53284f9e1

22322412001 has 2 divisors, whose sum is σ = 22322412002. Its totient is φ = 22322412000.

The previous prime is 22322411989. The next prime is 22322412031. The reversal of 22322412001 is 10021422322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12521610000 + 9800802001 = 111900^2 + 98999^2 .

It is a cyclic number.

It is not a de Polignac number, because 22322412001 - 211 = 22322409953 is a prime.

It is a super-3 number, since 3×223224120013 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22322412001.

It is not a weakly prime, because it can be changed into another prime (22322412031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11161206000 + 11161206001.

It is an arithmetic number, because the mean of its divisors is an integer number (11161206001).

Almost surely, 222322412001 is an apocalyptic number.

It is an amenable number.

22322412001 is a deficient number, since it is larger than the sum of its proper divisors (1).

22322412001 is an equidigital number, since it uses as much as digits as its factorization.

22322412001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 22322412001 its reverse (10021422322), we get a palindrome (32343834323).

It can be divided in two parts, 223224 and 12001, that added together give a square (235225 = 4852).

The spelling of 22322412001 in words is "twenty-two billion, three hundred twenty-two million, four hundred twelve thousand, one".