Search a number
-
+
202221444125201 is a prime number
BaseRepresentation
bin101101111110101101011001…
…010101111101001000010001
3222112000011220010200000122012
4231332231121111331020101
5203001144004144001301
61554031125434352305
760411005620655204
oct5576553125751021
9875004803600565
10202221444125201
11594856a6340a56
121a81ba5458b695
1388ab528777ba7
1437d17da59793b
15185a39ce1aebb
hexb7eb5957d211

202221444125201 has 2 divisors, whose sum is σ = 202221444125202. Its totient is φ = 202221444125200.

The previous prime is 202221444125189. The next prime is 202221444125287. The reversal of 202221444125201 is 102521444122202.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 191127721761025 + 11093722364176 = 13824895^2 + 3330724^2 .

It is a cyclic number.

It is not a de Polignac number, because 202221444125201 - 246 = 131852699947537 is a prime.

It is not a weakly prime, because it can be changed into another prime (202221444125401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101110722062600 + 101110722062601.

It is an arithmetic number, because the mean of its divisors is an integer number (101110722062601).

Almost surely, 2202221444125201 is an apocalyptic number.

It is an amenable number.

202221444125201 is a deficient number, since it is larger than the sum of its proper divisors (1).

202221444125201 is an equidigital number, since it uses as much as digits as its factorization.

202221444125201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20480, while the sum is 32.

Adding to 202221444125201 its reverse (102521444122202), we get a palindrome (304742888247403).

The spelling of 202221444125201 in words is "two hundred two trillion, two hundred twenty-one billion, four hundred forty-four million, one hundred twenty-five thousand, two hundred one".