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202201222211201 is a prime number
BaseRepresentation
bin101101111110011010100100…
…000001011110011010000001
3222111221020200211120100121102
4231332122210001132122001
5203000331100341224301
61554013543100504145
760406361532353543
oct5576324401363201
9874836624510542
10202201222211201
1159478069621734
121a817b5024b055
1388a96551125c5
1437d083ca27693
151859ab7967b6b
hexb7e6a405e681

202201222211201 has 2 divisors, whose sum is σ = 202201222211202. Its totient is φ = 202201222211200.

The previous prime is 202201222211099. The next prime is 202201222211207. The reversal of 202201222211201 is 102112222102202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101291161051201 + 100910061160000 = 10064351^2 + 10045400^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-202201222211201 is a prime.

It is not a weakly prime, because it can be changed into another prime (202201222211207) 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, 101100611105600 + 101100611105601.

It is an arithmetic number, because the mean of its divisors is an integer number (101100611105601).

Almost surely, 2202201222211201 is an apocalyptic number.

It is an amenable number.

202201222211201 is a deficient number, since it is larger than the sum of its proper divisors (1).

202201222211201 is an equidigital number, since it uses as much as digits as its factorization.

202201222211201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 202201222211201 its reverse (102112222102202), we get a palindrome (304313444313403).

The spelling of 202201222211201 in words is "two hundred two trillion, two hundred one billion, two hundred twenty-two million, two hundred eleven thousand, two hundred one".