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170105117 = 7213972753
BaseRepresentation
bin10100010001110…
…01100100011101
3102212002020100112
422020321210131
5322021330432
624513535405
74133604200
oct1210714435
9385066315
10170105117
1188024546
1248b74565
132931b120
141883d937
15ee017b2
hexa23991d

170105117 has 24 divisors (see below), whose sum is σ = 215373816. Its totient is φ = 133152768.

The previous prime is 170105113. The next prime is 170105141. The reversal of 170105117 is 711501071.

It can be written as a sum of positive squares in 4 ways, for example, as 29658916 + 140446201 = 5446^2 + 11851^2 .

It is not a de Polignac number, because 170105117 - 22 = 170105113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 170105092 and 170105101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (170105113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60413 + ... + 63165.

It is an arithmetic number, because the mean of its divisors is an integer number (8973909).

Almost surely, 2170105117 is an apocalyptic number.

It is an amenable number.

170105117 is a deficient number, since it is larger than the sum of its proper divisors (45268699).

170105117 is a wasteful number, since it uses less digits than its factorization.

170105117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 245, while the sum is 23.

The square root of 170105117 is about 13042.4352403989. The cubic root of 170105117 is about 554.0799810238.

Adding to 170105117 its reverse (711501071), we get a palindrome (881606188).

The spelling of 170105117 in words is "one hundred seventy million, one hundred five thousand, one hundred seventeen".

Divisors: 1 7 13 49 91 97 637 679 1261 2753 4753 8827 19271 35789 61789 134897 250523 267041 1753661 1869287 3471533 13085009 24300731 170105117