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4141021122241 is a prime number
BaseRepresentation
bin111100010000101000000…
…101111100111011000001
3112122212200212210222001121
4330100220011330323001
51020321302401402431
612450205302032241
7605115235525153
oct74205005747301
915585625728047
104141021122241
111357219515a93
1256a683718681
1324065c0b1a73
141045d8416ad3
1572ab6681611
hex3c42817cec1

4141021122241 has 2 divisors, whose sum is σ = 4141021122242. Its totient is φ = 4141021122240.

The previous prime is 4141021122211. The next prime is 4141021122247. The reversal of 4141021122241 is 1422211201414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4069680849025 + 71340273216 = 2017345^2 + 267096^2 .

It is a cyclic number.

It is not a de Polignac number, because 4141021122241 - 241 = 1941997866689 is a prime.

It is a super-2 number, since 2×41410211222412 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4141021122247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2070510561120 + 2070510561121.

It is an arithmetic number, because the mean of its divisors is an integer number (2070510561121).

Almost surely, 24141021122241 is an apocalyptic number.

It is an amenable number.

4141021122241 is a deficient number, since it is larger than the sum of its proper divisors (1).

4141021122241 is an equidigital number, since it uses as much as digits as its factorization.

4141021122241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 4141021122241 its reverse (1422211201414), we get a palindrome (5563232323655).

The spelling of 4141021122241 in words is "four trillion, one hundred forty-one billion, twenty-one million, one hundred twenty-two thousand, two hundred forty-one".