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172142017 = 1711298969
BaseRepresentation
bin10100100001010…
…10110111000001
3102222220201110021
422100222313001
5323032021032
625025333441
74160116525
oct1220526701
9388821407
10172142017
1189195933
1249797281
13298822a8
1418c0dd85
15101a5097
hexa42adc1

172142017 has 8 divisors (see below), whose sum is σ = 182449800. Its totient is φ = 161854464.

The previous prime is 172141993. The next prime is 172142081. The reversal of 172142017 is 710241271.

It can be written as a sum of positive squares in 4 ways, for example, as 15992001 + 156150016 = 3999^2 + 12496^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-172142017 is a prime.

It is a super-3 number, since 3×1721420173 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 172141982 and 172142000.

It is not an unprimeable number, because it can be changed into a prime (172142617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14709 + ... + 23677.

It is an arithmetic number, because the mean of its divisors is an integer number (22806225).

Almost surely, 2172142017 is an apocalyptic number.

172142017 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

172142017 is a deficient number, since it is larger than the sum of its proper divisors (10307783).

172142017 is a wasteful number, since it uses less digits than its factorization.

172142017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10115.

The product of its (nonzero) digits is 784, while the sum is 25.

The square root of 172142017 is about 13120.2902788010. The cubic root of 172142017 is about 556.2827963325.

Adding to 172142017 its reverse (710241271), we get a palindrome (882383288).

The spelling of 172142017 in words is "one hundred seventy-two million, one hundred forty-two thousand, seventeen".

Divisors: 1 17 1129 8969 19193 152473 10126001 172142017