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120007017 = 321329113313
BaseRepresentation
bin1110010011100…
…10100101101001
322100210222200100
413021302211221
5221210211032
615524100013
72655020454
oct711624551
9270728610
10120007017
1161817059
1234234609
131bb2a190
1411d1c49b
15a80797c
hex7272969

120007017 has 48 divisors (see below), whose sum is σ = 195446160. Its totient is φ = 70447104.

The previous prime is 120007001. The next prime is 120007033. The reversal of 120007017 is 710700021.

It is an interprime number because it is at equal distance from previous prime (120007001) and next prime (120007033).

It can be written as a sum of positive squares in 8 ways, for example, as 69155856 + 50851161 = 8316^2 + 7131^2 .

It is not a de Polignac number, because 120007017 - 24 = 120007001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120007037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383253 + ... + 383565.

It is an arithmetic number, because the mean of its divisors is an integer number (4071795).

Almost surely, 2120007017 is an apocalyptic number.

It is an amenable number.

120007017 is a deficient number, since it is larger than the sum of its proper divisors (75439143).

120007017 is a wasteful number, since it uses less digits than its factorization.

120007017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 120007017 is about 10954.7714261869. The cubic root of 120007017 is about 493.2520287954.

Adding to 120007017 its reverse (710700021), we get a palindrome (830707038).

The spelling of 120007017 in words is "one hundred twenty million, seven thousand, seventeen".

Divisors: 1 3 9 13 29 39 87 113 117 261 313 339 377 939 1017 1131 1469 2817 3277 3393 4069 4407 9077 9831 12207 13221 27231 29493 35369 36621 42601 81693 106107 118001 127803 318321 354003 383409 459797 1025701 1062009 1379391 3077103 4138173 9231309 13334113 40002339 120007017