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126338041 is a prime number
BaseRepresentation
bin1111000011111…
…00001111111001
322210201122012201
413201330033321
5224320304131
620311510201
73062566324
oct741741771
9283648181
10126338041
1165350705
1236388361
1320235a4b
1412ac97bb
15b158761
hex787c3f9

126338041 has 2 divisors, whose sum is σ = 126338042. Its totient is φ = 126338040.

The previous prime is 126337997. The next prime is 126338053. The reversal of 126338041 is 140833621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126337600 + 441 = 11240^2 + 21^2 .

It is a cyclic number.

It is not a de Polignac number, because 126338041 - 213 = 126329849 is a prime.

It is a super-2 number, since 2×1263380412 = 31922601207435362, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (126338141) 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, 63169020 + 63169021.

It is an arithmetic number, because the mean of its divisors is an integer number (63169021).

Almost surely, 2126338041 is an apocalyptic number.

It is an amenable number.

126338041 is a deficient number, since it is larger than the sum of its proper divisors (1).

126338041 is an equidigital number, since it uses as much as digits as its factorization.

126338041 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 square root of 126338041 is about 11240.0196174206. The cubic root of 126338041 is about 501.7777265524. Note that the first 4 decimals are identical.

It can be divided in two parts, 1263 and 38041, that added together give a cube (39304 = 343).

The spelling of 126338041 in words is "one hundred twenty-six million, three hundred thirty-eight thousand, forty-one".