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233204131001 = 617352370117
BaseRepresentation
bin1101100100110000001…
…1001010010010111001
3211021221101201022022002
43121030003022102321
512310100224143001
6255044341510345
722564005256442
oct3311403122271
9737841638262
10233204131001
118a9a071a286
12392437123b5
1318cb646b17a
14b403cac2c9
1560ed51546b
hex364c0ca4b9

233204131001 has 8 divisors (see below), whose sum is σ = 240274101384. Its totient is φ = 226238901120.

The previous prime is 233204130997. The next prime is 233204131021. The reversal of 233204131001 is 100131402332.

It can be written as a sum of positive squares in 4 ways, for example, as 6670968976 + 226533162025 = 81676^2 + 475955^2 .

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 233204131001 - 22 = 233204130997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (233204131021) 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, 26180606 + ... + 26189511.

It is an arithmetic number, because the mean of its divisors is an integer number (30034262673).

Almost surely, 2233204131001 is an apocalyptic number.

It is an amenable number.

233204131001 is a deficient number, since it is larger than the sum of its proper divisors (7069970383).

233204131001 is an equidigital number, since it uses as much as digits as its factorization.

233204131001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52370251.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 233204131001 its reverse (100131402332), we get a palindrome (333335533333).

The spelling of 233204131001 in words is "two hundred thirty-three billion, two hundred four million, one hundred thirty-one thousand, one".

Divisors: 1 61 73 4453 52370117 3194577137 3823018541 233204131001