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233300133131 = 13171055656711
BaseRepresentation
bin1101100101000111000…
…1011000010100001011
3211022012002100201110112
43121101301120110023
512310244313230011
6255102051304535
722566252261152
oct3312161302413
9738162321415
10233300133131
118aa3a93008a
123926b8ab14b
1319000312070
14b41293c599
156106b7a58b
hex3651c5850b

233300133131 has 8 divisors (see below), whose sum is σ = 266025491424. Its totient is φ = 202686088320.

The previous prime is 233300133119. The next prime is 233300133217. The reversal of 233300133131 is 131331003332.

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 233300133131 - 226 = 233233024267 is a prime.

It is a super-2 number, since 2×2333001331312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 233300133097 and 233300133106.

It is not an unprimeable number, because it can be changed into a prime (233300133331) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 527828135 + ... + 527828576.

It is an arithmetic number, because the mean of its divisors is an integer number (33253186428).

Almost surely, 2233300133131 is an apocalyptic number.

233300133131 is a deficient number, since it is larger than the sum of its proper divisors (32725358293).

233300133131 is a wasteful number, since it uses less digits than its factorization.

233300133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055656741.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 233300133131 its reverse (131331003332), we get a palindrome (364631136463).

The spelling of 233300133131 in words is "two hundred thirty-three billion, three hundred million, one hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 13 17 221 1055656711 13723537243 17946164087 233300133131