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10041312221 is a prime number
BaseRepresentation
bin10010101101000001…
…00100001111011101
3221220210111111211122
421112200210033131
5131031033442341
64340220100325
7503555513513
oct112640441735
927823444748
1010041312221
114293071546
121b429946a5
13c40423385
146b38384b3
153db81d94b
hex2568243dd

10041312221 has 2 divisors, whose sum is σ = 10041312222. Its totient is φ = 10041312220.

The previous prime is 10041312199. The next prime is 10041312287. The reversal of 10041312221 is 12221314001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5643765625 + 4397546596 = 75125^2 + 66314^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10041312221 is a prime.

It is a super-2 number, since 2×100413122212 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10041312221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10041312521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5020656110 + 5020656111.

It is an arithmetic number, because the mean of its divisors is an integer number (5020656111).

Almost surely, 210041312221 is an apocalyptic number.

It is an amenable number.

10041312221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10041312221 is an equidigital number, since it uses as much as digits as its factorization.

10041312221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10041312221 its reverse (12221314001), we get a palindrome (22262626222).

The spelling of 10041312221 in words is "ten billion, forty-one million, three hundred twelve thousand, two hundred twenty-one".