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23023222444441 is a prime number
BaseRepresentation
bin1010011110000100000101…
…11111101101000110011001
310000111222221221212012002201
411033002002333231012121
511004203024421210231
6120544420011130201
74564241625552442
oct517020277550631
9100458857765081
1023023222444441
117377103945a5a
1226ba07a743961
13cb0107cb800b
145984893c82c9
1529dd481c9161
hex14f082fed199

23023222444441 has 2 divisors, whose sum is σ = 23023222444442. Its totient is φ = 23023222444440.

The previous prime is 23023222444429. The next prime is 23023222444447. The reversal of 23023222444441 is 14444422232032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17887655184400 + 5135567260041 = 4229380^2 + 2266179^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23023222444441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 23023222444441.

It is not a weakly prime, because it can be changed into another prime (23023222444447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11511611222220 + 11511611222221.

It is an arithmetic number, because the mean of its divisors is an integer number (11511611222221).

Almost surely, 223023222444441 is an apocalyptic number.

It is an amenable number.

23023222444441 is a deficient number, since it is larger than the sum of its proper divisors (1).

23023222444441 is an equidigital number, since it uses as much as digits as its factorization.

23023222444441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 294912, while the sum is 37.

Adding to 23023222444441 its reverse (14444422232032), we get a palindrome (37467644676473).

The spelling of 23023222444441 in words is "twenty-three trillion, twenty-three billion, two hundred twenty-two million, four hundred forty-four thousand, four hundred forty-one".