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106622000461 is a prime number
BaseRepresentation
bin110001101001100101…
…0101001110101001101
3101012012200002211011001
41203103022221311031
53221330213003321
6120551555300301
710463123023204
oct1432312516515
9335180084131
10106622000461
1141244381059
12187b75aa691
13a092707c02
14523670223b
152b90788c91
hex18d32a9d4d

106622000461 has 2 divisors, whose sum is σ = 106622000462. Its totient is φ = 106622000460.

The previous prime is 106622000423. The next prime is 106622000483. The reversal of 106622000461 is 164000226601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91570391236 + 15051609225 = 302606^2 + 122685^2 .

It is a cyclic number.

It is not a de Polignac number, because 106622000461 - 231 = 104474516813 is a prime.

It is a super-2 number, since 2×1066220004612 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106622400461) 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, 53311000230 + 53311000231.

It is an arithmetic number, because the mean of its divisors is an integer number (53311000231).

Almost surely, 2106622000461 is an apocalyptic number.

It is an amenable number.

106622000461 is a deficient number, since it is larger than the sum of its proper divisors (1).

106622000461 is an equidigital number, since it uses as much as digits as its factorization.

106622000461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 106622000461 in words is "one hundred six billion, six hundred twenty-two million, four hundred sixty-one", and thus it is an aban number.