Search a number
-
+
33001133323230 = 232512734912596571
BaseRepresentation
bin1111000000011101011001…
…10101000011001111011110
311022211212200201111211010200
413200032230311003033132
513311142310112320410
6154104302241444330
76644152563625542
oct740165465031736
9138755621454120
1033001133323230
11a57377a4722a6
12384ba109406a6
131554cbb9b95c7
148213989b7a22
153c367dc873c0
hex1e03acd433de

33001133323230 has 192 divisors, whose sum is σ = 86808443904000. Its totient is φ = 8697752421120.

The previous prime is 33001133323177. The next prime is 33001133323231. The reversal of 33001133323230 is 3232333110033.

33001133323230 is a `hidden beast` number, since 3 + 3 + 0 + 0 + 1 + 1 + 3 + 332 + 323 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 33001133323194 and 33001133323203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33001133323231) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5022235845 + ... + 5022242415.

It is an arithmetic number, because the mean of its divisors is an integer number (452127312000).

Almost surely, 233001133323230 is an apocalyptic number.

33001133323230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33001133323230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43404221952000).

33001133323230 is an abundant number, since it is smaller than the sum of its proper divisors (53807310580770).

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

33001133323230 is a wasteful number, since it uses less digits than its factorization.

33001133323230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8319 (or 8316 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 33001133323230 its reverse (3232333110033), we get a palindrome (36233466433263).

The spelling of 33001133323230 in words is "thirty-three trillion, one billion, one hundred thirty-three million, three hundred twenty-three thousand, two hundred thirty".