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202224422413141 is a prime number
BaseRepresentation
bin101101111110110000001010…
…110111001110001101010101
3222112000110120200211201121221
4231332300022313032031111
5203001221104114210031
61554032341145410341
760411142464001342
oct5576601267161525
9875013520751557
10202224422413141
1159486994521847
121a820545a999b1
1388ab8b17c994b
1437d19ddd4b7c9
15185a4c4621a11
hexb7ec0adce355

202224422413141 has 2 divisors, whose sum is σ = 202224422413142. Its totient is φ = 202224422413140.

The previous prime is 202224422413127. The next prime is 202224422413151. The reversal of 202224422413141 is 141314224422202.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 183116945549041 + 19107476864100 = 13532071^2 + 4371210^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-202224422413141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202224422413097 and 202224422413106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202224422413151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101112211206570 + 101112211206571.

It is an arithmetic number, because the mean of its divisors is an integer number (101112211206571).

Almost surely, 2202224422413141 is an apocalyptic number.

It is an amenable number.

202224422413141 is a deficient number, since it is larger than the sum of its proper divisors (1).

202224422413141 is an equidigital number, since it uses as much as digits as its factorization.

202224422413141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 202224422413141 its reverse (141314224422202), we get a palindrome (343538646835343).

The spelling of 202224422413141 in words is "two hundred two trillion, two hundred twenty-four billion, four hundred twenty-two million, four hundred thirteen thousand, one hundred forty-one".