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160409061121 = 71256412
BaseRepresentation
bin1001010101100100100…
…0000000011100000001
3120100001011221121100211
42111121020000130001
510112004204423441
6201405122514121
714406041344141
oct2253110003401
9510034847324
10160409061121
1162035807901
1227108805941
1312184c3161a
147a99d96921
15428c840a81
hex2559200701

160409061121 has 9 divisors (see below), whose sum is σ = 162729012099. Its totient is φ = 158121742800.

The previous prime is 160409061107. The next prime is 160409061139. The reversal of 160409061121 is 121160904061.

The square root of 160409061121 is 400511.

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., 158594301121 + 1814760000 = 398239^2 + 42600^2 .

It is not a de Polignac number, because 160409061121 - 211 = 160409059073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (160409061151) 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, 28433461 + ... + 28439101.

Almost surely, 2160409061121 is an apocalyptic number.

160409061121 is the 400511-st square number.

160409061121 is the 200256-th centered octagonal number.

It is an amenable number.

160409061121 is a deficient number, since it is larger than the sum of its proper divisors (2319950978).

160409061121 is an frugal number, since it uses more digits than its factorization.

160409061121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11424 (or 5712 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

Adding to 160409061121 its reverse (121160904061), we get a palindrome (281569965182).

The spelling of 160409061121 in words is "one hundred sixty billion, four hundred nine million, sixty-one thousand, one hundred twenty-one".

Divisors: 1 71 5041 5641 400511 28436281 31820881 2259282551 160409061121