Search a number
-
+
222122201121001 is a prime number
BaseRepresentation
bin110010100000010011011010…
…111001010000000011101001
31002010110200020002220120001201
4302200103122321100003221
5213103222231441333001
62104225310330444201
764533541132255336
oct6240233271200351
91063420202816051
10222122201121001
1164858550901055
1220ab492b893661
1396c3059025cac
143cbcab412798d
151aa2d95247501
hexca04dae500e9

222122201121001 has 2 divisors, whose sum is σ = 222122201121002. Its totient is φ = 222122201121000.

The previous prime is 222122201120977. The next prime is 222122201121053. The reversal of 222122201121001 is 100121102221222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 157453583898601 + 64668617222400 = 12548051^2 + 8041680^2 .

It is a cyclic number.

It is not a de Polignac number, because 222122201121001 - 27 = 222122201120873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 222122201121001.

It is not a weakly prime, because it can be changed into another prime (222122201122001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111061100560500 + 111061100560501.

It is an arithmetic number, because the mean of its divisors is an integer number (111061100560501).

Almost surely, 2222122201121001 is an apocalyptic number.

It is an amenable number.

222122201121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

222122201121001 is an equidigital number, since it uses as much as digits as its factorization.

222122201121001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 222122201121001 its reverse (100121102221222), we get a palindrome (322243303342223).

The spelling of 222122201121001 in words is "two hundred twenty-two trillion, one hundred twenty-two billion, two hundred one million, one hundred twenty-one thousand, one".