Search a number
-
+
303031121130 = 232510133336757
BaseRepresentation
bin1000110100011100000…
…11111111010011101010
31001222011202111221020200
410122032003333103222
514431101431334010
6351113252333030
730615252013233
oct4321603772352
91058152457220
10303031121130
11107573193491
124a890614176
1322763abb4ca
141094992a08a
157d3884dcc0
hex468e0ff4ea

303031121130 has 48 divisors (see below), whose sum is σ = 795681739944. Its totient is φ = 80008214400.

The previous prime is 303031121069. The next prime is 303031121131. The reversal of 303031121130 is 31121130303.

It is a happy number.

303031121130 is a `hidden beast` number, since 303 + 0 + 311 + 21 + 1 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 280913780169 + 22117340961 = 530013^2 + 148719^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (303031121131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16659289 + ... + 16677468.

Almost surely, 2303031121130 is an apocalyptic number.

303031121130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

303031121130 is an abundant number, since it is smaller than the sum of its proper divisors (492650618814).

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

303031121130 is a wasteful number, since it uses less digits than its factorization.

303031121130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33336871 (or 33336868 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 303031121130 its reverse (31121130303), we get a palindrome (334152251433).

The spelling of 303031121130 in words is "three hundred three billion, thirty-one million, one hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 33336757 66673514 100010271 166683785 200020542 300030813 333367570 500051355 600061626 1000102710 1500154065 3000308130 3367012457 6734024914 10101037371 16835062285 20202074742 30303112113 33670124570 50505186855 60606224226 101010373710 151515560565 303031121130