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1267201201 = 7234974101
BaseRepresentation
bin100101110000111…
…1111010010110001
310021022110111020211
41023201333102301
510043400414301
6325424304121
743255014100
oct11341772261
93238414224
101267201201
115a0336022
122b4472041
131726c30c6
14c0424037
15763b2051
hex4b87f4b1

1267201201 has 12 divisors (see below), whose sum is σ = 1478334900. Its totient is φ = 1083045600.

The previous prime is 1267201193. The next prime is 1267201213. The reversal of 1267201201 is 1021027621.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 757570576 + 509630625 = 27524^2 + 22575^2 .

It is not a de Polignac number, because 1267201201 - 23 = 1267201193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1267202201) 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 in 11 ways as a sum of consecutive naturals, for example, 19950 + ... + 54151.

It is an arithmetic number, because the mean of its divisors is an integer number (123194575).

Almost surely, 21267201201 is an apocalyptic number.

It is an amenable number.

1267201201 is a deficient number, since it is larger than the sum of its proper divisors (211133699).

1267201201 is an equidigital number, since it uses as much as digits as its factorization.

1267201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74464 (or 74457 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 1267201201 is about 35597.7696070976. The cubic root of 1267201201 is about 1082.1360334659.

Adding to 1267201201 its reverse (1021027621), we get a palindrome (2288228822).

The spelling of 1267201201 in words is "one billion, two hundred sixty-seven million, two hundred one thousand, two hundred one".

Divisors: 1 7 49 349 2443 17101 74101 518707 3630949 25861249 181028743 1267201201