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112430784249 = 327422812
BaseRepresentation
bin110100010110101100…
…1011001111011111001
3101202012111100121111100
41220231121121323321
53320224240043444
6123352221522013
711060065620000
oct1505531317371
9352174317440
10112430784249
1143755279313
1219958a13309
13a7a9ca3794
145627d77c37
152dd06eee69
hex1a2d659ef9

112430784249 has 45 divisors (see below), whose sum is σ = 189538513359. Its totient is φ = 64217996640.

The previous prime is 112430784229. The next prime is 112430784259. The reversal of 112430784249 is 942487034211.

The square root of 112430784249 is 335307.

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

112430784249 is a `hidden beast` number, since 1 + 1 + 24 + 307 + 84 + 249 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67622361849 + 44808422400 = 260043^2 + 211680^2 .

It is not a de Polignac number, because 112430784249 - 221 = 112428687097 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (112430784229) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 49288989 + ... + 49291269.

Almost surely, 2112430784249 is an apocalyptic number.

112430784249 is the 335307-th square number.

112430784249 is the 167654-th centered octagonal number.

It is an amenable number.

112430784249 is a deficient number, since it is larger than the sum of its proper divisors (77107729110).

112430784249 is an frugal number, since it uses more digits than its factorization.

112430784249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4596 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 112430784249 in words is "one hundred twelve billion, four hundred thirty million, seven hundred eighty-four thousand, two hundred forty-nine".

Divisors: 1 3 7 9 21 49 63 147 343 441 1029 2281 2401 3087 6843 7203 15967 20529 21609 47901 111769 143703 335307 782383 1005921 2347149 5202961 5476681 7041447 15608883 16430043 36420727 46826649 49290129 109262181 254945089 327786543 764835267 1784615623 2294505801 5353846869 12492309361 16061540607 37476928083 112430784249