Search a number
-
+
315121300 = 2252132231087
BaseRepresentation
bin10010110010000…
…101111010010100
3210221221211011021
4102302011322110
51121132340200
651134050524
710544325664
oct2262057224
9727854137
10315121300
1115197232a
1289649a44
1350393710
142dbcc1a4
151c9e941a
hex12c85e94

315121300 has 72 divisors (see below), whose sum is σ = 740397056. Its totient is φ = 115724160.

The previous prime is 315121259. The next prime is 315121307. The reversal of 315121300 is 3121513.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315121307) 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, 289357 + ... + 290443.

Almost surely, 2315121300 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 315121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370198528).

315121300 is an abundant number, since it is smaller than the sum of its proper divisors (425275756).

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

315121300 is a wasteful number, since it uses less digits than its factorization.

315121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 315121300 is about 17751.6562607549. The cubic root of 315121300 is about 680.4965375696.

Adding to 315121300 its reverse (3121513), we get a palindrome (318242813).

The spelling of 315121300 in words is "three hundred fifteen million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 223 260 325 446 650 892 1087 1115 1300 2174 2230 2899 4348 4460 5435 5575 5798 10870 11150 11596 14131 14495 21740 22300 27175 28262 28990 54350 56524 57980 70655 72475 108700 141310 144950 242401 282620 289900 353275 484802 706550 969604 1212005 1413100 2424010 3151213 4848020 6060025 6302426 12120050 12604852 15756065 24240100 31512130 63024260 78780325 157560650 315121300