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126333149 is a prime number
BaseRepresentation
bin1111000011110…
…11000011011101
322210201101111112
413201323003131
5224320130044
620311431405
73062546135
oct741730335
9283641445
10126333149
1165347a68
1236385565
1320233757
1412ac7ac5
15b15709e
hex787b0dd

126333149 has 2 divisors, whose sum is σ = 126333150. Its totient is φ = 126333148.

The previous prime is 126333131. The next prime is 126333167. The reversal of 126333149 is 941333621.

It is a balanced prime because it is at equal distance from previous prime (126333131) and next prime (126333167).

It can be written as a sum of positive squares in only one way, i.e., 95452900 + 30880249 = 9770^2 + 5557^2 .

It is a cyclic number.

It is not a de Polignac number, because 126333149 - 216 = 126267613 is a prime.

It is a super-3 number, since 3×1263331493 (a number of 25 digits) contains 333 as substring.

It is a Chen prime.

It is equal to p7181726 and since 126333149 and 7181726 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (126333349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63166574 + 63166575.

It is an arithmetic number, because the mean of its divisors is an integer number (63166575).

Almost surely, 2126333149 is an apocalyptic number.

It is an amenable number.

126333149 is a deficient number, since it is larger than the sum of its proper divisors (1).

126333149 is an equidigital number, since it uses as much as digits as its factorization.

126333149 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11664, while the sum is 32.

The square root of 126333149 is about 11239.8020000354. The cubic root of 126333149 is about 501.7712499380.

The spelling of 126333149 in words is "one hundred twenty-six million, three hundred thirty-three thousand, one hundred forty-nine".