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1317036681 = 32120972
BaseRepresentation
bin100111010000000…
…0110001010001001
310101210020101200100
41032200012022021
510144130133211
6334404400013
744431425042
oct11640061211
93353211610
101317036681
11616484174
123090a6009
1317cb2165c
14c6cb78c9
157a958156
hex4e806289

1317036681 has 9 divisors (see below), whose sum is σ = 1902543591. Its totient is φ = 877951872.

The previous prime is 1317036673. The next prime is 1317036683. The reversal of 1317036681 is 1866307131.

The square root of 1317036681 is 36291.

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

It can be written as a sum of positive squares in only one way, i.e., 36542025 + 1280494656 = 6045^2 + 35784^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1317036681 - 23 = 1317036673 is a prime.

It is a super-2 number, since 2×13170366812 = 3469171238198991522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1317036683) 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, 102825 + ... + 114921.

Almost surely, 21317036681 is an apocalyptic number.

1317036681 is the 36291-st square number.

1317036681 is the 18146-th centered octagonal number.

It is an amenable number.

1317036681 is a deficient number, since it is larger than the sum of its proper divisors (585506910).

1317036681 is an frugal number, since it uses more digits than its factorization.

1317036681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24200 (or 12100 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The cubic root of 1317036681 is about 1096.1398251753.

Multiplying 1317036681 by its sum of digits (36), we get a square (47413320516 = 2177462).

It can be divided in two parts, 131703 and 6681, that added together give a square (138384 = 3722).

The spelling of 1317036681 in words is "one billion, three hundred seventeen million, thirty-six thousand, six hundred eighty-one".

Divisors: 1 3 9 12097 36291 108873 146337409 439012227 1317036681