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305117106 = 237103251281
BaseRepresentation
bin10010001011111…
…011011110110010
3210021010112222120
4102023323132302
51111102221411
650135415110
710363311150
oct2213733662
9707115876
10305117106
11147259aa8
1286224496
134b29cc88
142c7463d0
151bbc0106
hex122fb7b2

305117106 has 64 divisors (see below), whose sum is σ = 709502976. Its totient is φ = 85680000.

The previous prime is 305117077. The next prime is 305117117. The reversal of 305117106 is 601711503.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1085686 + ... + 1085966.

It is an arithmetic number, because the mean of its divisors is an integer number (11085984).

Almost surely, 2305117106 is an apocalyptic number.

305117106 is an abundant number, since it is smaller than the sum of its proper divisors (404385870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

305117106 is a wasteful number, since it uses less digits than its factorization.

305117106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647.

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 305117106 is about 17467.6016098376. The cubic root of 305117106 is about 673.2176892420.

Adding to 305117106 its reverse (601711503), we get a palindrome (906828609).

The spelling of 305117106 in words is "three hundred five million, one hundred seventeen thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 42 103 206 251 281 309 502 562 618 721 753 843 1442 1506 1686 1757 1967 2163 3514 3934 4326 5271 5901 10542 11802 25853 28943 51706 57886 70531 77559 86829 141062 155118 173658 180971 202601 211593 361942 405202 423186 493717 542913 607803 987434 1085826 1215606 1481151 2962302 7264693 14529386 21794079 43588158 50852851 101705702 152558553 305117106