Search a number
-
+
30343104330000 = 24354711175931303
BaseRepresentation
bin1101110011000110011011…
…11101000111100100010000
310222102202212010000121220220
412321203031331013210100
512434120134202030000
6144311232451433040
76251134261153260
oct671431575074420
9128382763017826
1030343104330000
119739490395480
1234a08442b5780
1313c145b503267
1476c88509d7a0
153794617711a0
hex1b98cdf47910

30343104330000 has 1600 divisors, whose sum is σ = 129622529912832. Its totient is φ = 5919621120000.

The previous prime is 30343104329963. The next prime is 30343104330031. The reversal of 30343104330000 is 3340134303.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 23287109349 + ... + 23287110651.

Almost surely, 230343104330000 is an apocalyptic number.

30343104330000 is a gapful number since it is divisible by the number (30) 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 30343104330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64811264956416).

30343104330000 is an abundant number, since it is smaller than the sum of its proper divisors (99279425582832).

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

30343104330000 is a wasteful number, since it uses less digits than its factorization.

30343104330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 30343104330000 its reverse (3340134303), we get a palindrome (30346444464303).

The spelling of 30343104330000 in words is "thirty trillion, three hundred forty-three billion, one hundred four million, three hundred thirty thousand".