Search a number
-
+
231000330000 = 2435411700001
BaseRepresentation
bin1101011100100010110…
…0010100111100010000
3211002020210212121122210
43113020230110330100
512241042041030000
6254041534432120
722455255256566
oct3271054247420
9732223777583
10231000330000
1189a6a733a40
1238929662640
1318a24a086cb
14b275321a36
15601ece7350
hex35c8b14f10

231000330000 has 200 divisors, whose sum is σ = 813491924256. Its totient is φ = 56000000000.

The previous prime is 231000329999. The next prime is 231000330049. The reversal of 231000330000 is 33000132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-4 number, since 4×2310003300004 (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 39 ways as a sum of consecutive naturals, for example, 20001 + ... + 680000.

Almost surely, 2231000330000 is an apocalyptic number.

231000330000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231000330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406745962128).

231000330000 is an abundant number, since it is smaller than the sum of its proper divisors (582491594256).

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

231000330000 is a wasteful number, since it uses less digits than its factorization.

231000330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700043 (or 700022 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 231000330000 its reverse (33000132), we get a palindrome (231033330132).

The spelling of 231000330000 in words is "two hundred thirty-one billion, three hundred thirty thousand".