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133302332033 = 1317603177973
BaseRepresentation
bin111110000100101110…
…0000010101010000001
3110202002001212002112122
41330021130002222001
54141000344111113
6141123243334025
712426233061353
oct1741134025201
9422061762478
10133302332033
1151595767062
1221a02821315
13c7550c2460
146647cd10d3
153702c27408
hex1f09702a81

133302332033 has 8 divisors (see below), whose sum is σ = 152000849448. Its totient is φ = 115810170624.

The previous prime is 133302331993. The next prime is 133302332071. The reversal of 133302332033 is 330233203331.

It can be written as a sum of positive squares in 4 ways, for example, as 229128769 + 133073203264 = 15137^2 + 364792^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 133302332033 - 228 = 133033896577 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133302331993 and 133302332011.

It is not an unprimeable number, because it can be changed into a prime (133302338033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301588766 + ... + 301589207.

It is an arithmetic number, because the mean of its divisors is an integer number (19000106181).

Almost surely, 2133302332033 is an apocalyptic number.

133302332033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133302332033 is a deficient number, since it is larger than the sum of its proper divisors (18698517415).

133302332033 is a wasteful number, since it uses less digits than its factorization.

133302332033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603178003.

The product of its (nonzero) digits is 8748, while the sum is 26.

Adding to 133302332033 its reverse (330233203331), we get a palindrome (463535535364).

The spelling of 133302332033 in words is "one hundred thirty-three billion, three hundred two million, three hundred thirty-two thousand, thirty-three".

Divisors: 1 13 17 221 603177973 7841313649 10254025541 133302332033