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10000002022141 is a prime number
BaseRepresentation
bin1001000110000100111010…
…0100010111101011111101
31022101222202100000222200111
42101201032210113223331
52302320001004202031
633133534300230021
72051322241465615
oct221411644275375
938358670028614
1010000002022141
113205a8249530a
12115609853b311
13576cc46b5a61
142680074d7a45
151251ca1e21b1
hex9184e917afd

10000002022141 has 2 divisors, whose sum is σ = 10000002022142. Its totient is φ = 10000002022140.

The previous prime is 10000002022133. The next prime is 10000002022147. The reversal of 10000002022141 is 14122020000001.

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., 9623706884100 + 376295138041 = 3102210^2 + 613429^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000002022141 - 23 = 10000002022133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000002022147) 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, 5000001011070 + 5000001011071.

It is an arithmetic number, because the mean of its divisors is an integer number (5000001011071).

Almost surely, 210000002022141 is an apocalyptic number.

It is an amenable number.

10000002022141 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000002022141 is an equidigital number, since it uses as much as digits as its factorization.

10000002022141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10000002022141 its reverse (14122020000001), we get a palindrome (24122022022142).

The spelling of 10000002022141 in words is "ten trillion, two million, twenty-two thousand, one hundred forty-one".