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1271136409 = 10123532
BaseRepresentation
bin100101111000100…
…0000000010011001
310021120212102100021
41023301000002121
510100402331114
6330044510441
743333324024
oct11361000231
93246772307
101271136409
115a2583664
122b584b421
1317347032a
14c0b6a1bb
15768dd024
hex4bc40099

1271136409 has 9 divisors (see below), whose sum is σ = 1287493789. Its totient is φ = 1254985600.

The previous prime is 1271136379. The next prime is 1271136421. The reversal of 1271136409 is 9046311721.

The square root of 1271136409 is 35653.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 283417225 + 987719184 = 16835^2 + 31428^2 .

It is not a de Polignac number, because 1271136409 - 27 = 1271136281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1271136109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3600777 + ... + 3601129.

Almost surely, 21271136409 is an apocalyptic number.

1271136409 is the 35653-rd square number.

1271136409 is the 17827-th centered octagonal number.

It is an amenable number.

1271136409 is a deficient number, since it is larger than the sum of its proper divisors (16357380).

1271136409 is an frugal number, since it uses more digits than its factorization.

1271136409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The cubic root of 1271136409 is about 1083.2550427893.

The spelling of 1271136409 in words is "one billion, two hundred seventy-one million, one hundred thirty-six thousand, four hundred nine".

Divisors: 1 101 353 10201 35653 124609 3600953 12585509 1271136409