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315106134 = 23731237211
BaseRepresentation
bin10010110010000…
…010001101010110
3210221221001100120
4102302002031112
51121131344014
651133452410
710544233530
oct2262021526
9727831316
10315106134
111519619a2
1289641106
1350389845
142dbc6850
151c9e4ba9
hex12c82356

315106134 has 96 divisors (see below), whose sum is σ = 767962368. Its totient is φ = 84369600.

The previous prime is 315106117. The next prime is 315106139. The reversal of 315106134 is 431601513.

315106134 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315106139) 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, 1493289 + ... + 1493499.

It is an arithmetic number, because the mean of its divisors is an integer number (7999608).

Almost surely, 2315106134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315106134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383981184).

315106134 is an abundant number, since it is smaller than the sum of its proper divisors (452856234).

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

315106134 is a wasteful number, since it uses less digits than its factorization.

315106134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 315106134 is about 17751.2290842071. The cubic root of 315106134 is about 680.4856205290.

Adding to 315106134 its reverse (431601513), we get a palindrome (746707647).

The spelling of 315106134 in words is "three hundred fifteen million, one hundred six thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 31 37 42 62 74 93 111 186 211 217 222 259 422 434 518 633 651 777 961 1147 1266 1302 1477 1554 1922 2294 2883 2954 3441 4431 5766 6541 6727 6882 7807 8029 8862 13082 13454 15614 16058 19623 20181 23421 24087 35557 39246 40362 45787 46842 48174 54649 71114 91574 106671 109298 137361 163947 202771 213342 242017 248899 274722 327894 405542 484034 497798 608313 726051 746697 1216626 1419397 1452102 1493394 1694119 2838794 3388238 4258191 5082357 7502527 8516382 10164714 15005054 22507581 45015162 52517689 105035378 157553067 315106134