Search a number
-
+
30033300330000 = 2432541147719091
BaseRepresentation
bin1101101010000101011000…
…01100101001011000010000
310221100011012100010210111200
412311002230030221120100
512414031144341030000
6143513035132511200
76216556115463342
oct665025414513020
9127304170123450
1030033300330000
11962a062084940
1234507a361b500
13139b1884a0926
1475b895c59292
1537137d51d500
hex1b50ac329610

30033300330000 has 1200 divisors, whose sum is σ = 118678073260032. Its totient is φ = 7024752000000.

The previous prime is 30033300329869. The next prime is 30033300330041. The reversal of 30033300330000 is 3300333003.

30033300330000 is a `hidden beast` number, since 3 + 0 + 0 + 3 + 330 + 0 + 330 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3303625455 + ... + 3303634545.

Almost surely, 230033300330000 is an apocalyptic number.

30033300330000 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 30033300330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59339036630016).

30033300330000 is an abundant number, since it is smaller than the sum of its proper divisors (88644772930032).

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

30033300330000 is a wasteful number, since it uses less digits than its factorization.

30033300330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9254 (or 9230 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 18.

Adding to 30033300330000 its reverse (3300333003), we get a palindrome (30036600663003).

It can be divided in two parts, 300333003 and 30000, that added together give a palindrome (300363003).

The spelling of 30033300330000 in words is "thirty trillion, thirty-three billion, three hundred million, three hundred thirty thousand".