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1071318361 = 7124612
BaseRepresentation
bin111111110110110…
…000010101011001
32202122212121111211
4333312300111121
54143224141421
6254150023121
735356025101
oct7766602531
92678777454
101071318361
114aa805383
1225a947aa1
13140c4aab9
14a23d4201
15640bc9e1
hex3fdb0559

1071318361 has 9 divisors (see below), whose sum is σ = 1088982079. Its totient is φ = 1053938200.

The previous prime is 1071318323. The next prime is 1071318379. The reversal of 1071318361 is 1638131701.

The square root of 1071318361 is 32731.

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., 343397961 + 727920400 = 18531^2 + 26980^2 .

It is not a de Polignac number, because 1071318361 - 219 = 1070794073 is a prime.

It is a super-2 number, since 2×10713183612 = 2295446061231452642, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1071328361) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2323671 + ... + 2324131.

Almost surely, 21071318361 is an apocalyptic number.

1071318361 is the 32731-st square number.

1071318361 is the 16366-th centered octagonal number.

It is an amenable number.

1071318361 is a deficient number, since it is larger than the sum of its proper divisors (17663718).

1071318361 is an frugal number, since it uses more digits than its factorization.

1071318361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The cubic root of 1071318361 is about 1023.2290215294.

The spelling of 1071318361 in words is "one billion, seventy-one million, three hundred eighteen thousand, three hundred sixty-one".

Divisors: 1 71 461 5041 32731 212521 2323901 15088991 1071318361