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10646222441 is a prime number
BaseRepresentation
bin10011110101001000…
…00111011001101001
31000110221202010122212
421322210013121221
5133300413104231
64520225254505
7524552253251
oct117244073151
930427663585
1010646222441
114573573548
122091494435
13100884ac0a
1472dcdc961
154249ab42b
hex27a907669

10646222441 has 2 divisors, whose sum is σ = 10646222442. Its totient is φ = 10646222440.

The previous prime is 10646222351. The next prime is 10646222459. The reversal of 10646222441 is 14422264601.

10646222441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10486579216 + 159643225 = 102404^2 + 12635^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10646222441 is a prime.

It is a super-2 number, since 2×106462224412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10646222398 and 10646222407.

It is not a weakly prime, because it can be changed into another prime (10646222471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5323111220 + 5323111221.

It is an arithmetic number, because the mean of its divisors is an integer number (5323111221).

Almost surely, 210646222441 is an apocalyptic number.

It is an amenable number.

10646222441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10646222441 is an equidigital number, since it uses as much as digits as its factorization.

10646222441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 10646222441 in words is "ten billion, six hundred forty-six million, two hundred twenty-two thousand, four hundred forty-one".