Search a number
-
+
1267000141 = 111634871451
BaseRepresentation
bin100101110000100…
…1110001101001101
310021022002021110011
41023201032031031
510043323001031
6325420113221
743253215651
oct11341161515
93238067404
101267000141
115a0208a60
122b4395811
13172652734
14c03b0a61
15763726b1
hex4b84e34d

1267000141 has 16 divisors (see below), whose sum is σ = 1394477568. Its totient is φ = 1141614000.

The previous prime is 1267000099. The next prime is 1267000187. The reversal of 1267000141 is 1410007621.

It is a 9-Lehmer number, since φ(1267000141) divides (1267000141-1)9.

It is a cyclic number.

It is not a de Polignac number, because 1267000141 - 211 = 1266998093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1267000841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 872466 + ... + 873916.

It is an arithmetic number, because the mean of its divisors is an integer number (87154848).

Almost surely, 21267000141 is an apocalyptic number.

1267000141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1267000141 is a deficient number, since it is larger than the sum of its proper divisors (127477427).

1267000141 is a wasteful number, since it uses less digits than its factorization.

1267000141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112.

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

The square root of 1267000141 is about 35594.9454417337. The cubic root of 1267000141 is about 1082.0787982037.

Adding to 1267000141 its reverse (1410007621), we get a palindrome (2677007762).

The spelling of 1267000141 in words is "one billion, two hundred sixty-seven million, one hundred forty-one", and thus it is an aban number.

Divisors: 1 11 163 487 1451 1793 5357 15961 79381 236513 706637 873191 2601643 7773007 115181831 1267000141