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222133202133001 is a prime number
BaseRepresentation
bin110010100000011101101010…
…100110110010000000001001
31002010111201121210020212111121
4302200131222212302000021
5213103412244221224001
62104234330112355241
764534410553314535
oct6240355246620011
91063451553225447
10222133202133001
1164862186670205
1220ab6a9bb45b21
1396c40c0216153
143cbd4391bcbc5
151aa32dae366a1
hexca076a9b2009

222133202133001 has 2 divisors, whose sum is σ = 222133202133002. Its totient is φ = 222133202133000.

The previous prime is 222133202132987. The next prime is 222133202133071. The reversal of 222133202133001 is 100331202331222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210194207701776 + 11938994431225 = 14498076^2 + 3455285^2 .

It is a cyclic number.

It is not a de Polignac number, because 222133202133001 - 29 = 222133202132489 is a prime.

It is not a weakly prime, because it can be changed into another prime (222133202133071) 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, 111066601066500 + 111066601066501.

It is an arithmetic number, because the mean of its divisors is an integer number (111066601066501).

Almost surely, 2222133202133001 is an apocalyptic number.

It is an amenable number.

222133202133001 is a deficient number, since it is larger than the sum of its proper divisors (1).

222133202133001 is an equidigital number, since it uses as much as digits as its factorization.

222133202133001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 222133202133001 its reverse (100331202331222), we get a palindrome (322464404464223).

The spelling of 222133202133001 in words is "two hundred twenty-two trillion, one hundred thirty-three billion, two hundred two million, one hundred thirty-three thousand, one".