Search a number
-
+
315101332 = 227135031721
BaseRepresentation
bin10010110010000…
…001000010010100
3210221220210202201
4102302001002110
51121131220312
651133414244
710544213530
oct2262010224
9727823681
10315101332
11151959327
128963a384
13503875c0
142dbc4bc0
151c9e3557
hex12c81094

315101332 has 48 divisors (see below), whose sum is σ = 680424192. Its totient is φ = 124335360.

The previous prime is 315101309. The next prime is 315101363. The reversal of 315101332 is 233101513.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182232 + ... + 183952.

It is an arithmetic number, because the mean of its divisors is an integer number (14175504).

Almost surely, 2315101332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315101332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340212096).

315101332 is an abundant number, since it is smaller than the sum of its proper divisors (365322860).

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

315101332 is a wasteful number, since it uses less digits than its factorization.

315101332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 315101332 is about 17751.0938254520. The cubic root of 315101332 is about 680.4821638010.

Adding to 315101332 its reverse (233101513), we get a palindrome (548202845).

The spelling of 315101332 in words is "three hundred fifteen million, one hundred one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 503 1006 1721 2012 3442 3521 6539 6884 7042 12047 13078 14084 22373 24094 26156 44746 45773 48188 89492 91546 156611 183092 313222 626444 865663 1731326 3462652 6059641 11253619 12119282 22507238 24238564 45014476 78775333 157550666 315101332