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100042216441 is a prime number
BaseRepresentation
bin101110100101011111…
…0110001001111111001
3100120020010002011022121
41131022332301033321
53114341301411231
6113543031521241
710141065544336
oct1351276611771
9316203064277
10100042216441
113947824aa22
121747bb29221
1395844a109b
144bb08cd98d
152907cc8311
hex174afb13f9

100042216441 has 2 divisors, whose sum is σ = 100042216442. Its totient is φ = 100042216440.

The previous prime is 100042216423. The next prime is 100042216453. The reversal of 100042216441 is 144612240001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51993576441 + 48048640000 = 228021^2 + 219200^2 .

It is a cyclic number.

It is not a de Polignac number, because 100042216441 - 233 = 91452281849 is a prime.

It is not a weakly prime, because it can be changed into another prime (100042216481) 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, 50021108220 + 50021108221.

It is an arithmetic number, because the mean of its divisors is an integer number (50021108221).

Almost surely, 2100042216441 is an apocalyptic number.

It is an amenable number.

100042216441 is a deficient number, since it is larger than the sum of its proper divisors (1).

100042216441 is an equidigital number, since it uses as much as digits as its factorization.

100042216441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 100042216441 its reverse (144612240001), we get a palindrome (244654456442).

The spelling of 100042216441 in words is "one hundred billion, forty-two million, two hundred sixteen thousand, four hundred forty-one".