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233013313331 = 29193330712589
BaseRepresentation
bin1101100100000010101…
…1001111111100110011
3211021110002122202122222
43121000223033330303
512304202402011311
6255013403551255
722556200324631
oct3310053177463
9737402582588
10233013313331
118a902a39127
12391ab82b52b
1318c85a7a4c6
14b3c67da351
1560db8c1adb
hex3640acff33

233013313331 has 16 divisors (see below), whose sum is σ = 242389730400. Its totient is φ = 223727228928.

The previous prime is 233013313321. The next prime is 233013313439. The reversal of 233013313331 is 133313310332.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-233013313331 is a prime.

It is a super-2 number, since 2×2330133133312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 233013313331.

It is not an unprimeable number, because it can be changed into a prime (233013313321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18502985 + ... + 18515573.

It is an arithmetic number, because the mean of its divisors is an integer number (15149358150).

Almost surely, 2233013313331 is an apocalyptic number.

233013313331 is a deficient number, since it is larger than the sum of its proper divisors (9376417069).

233013313331 is a wasteful number, since it uses less digits than its factorization.

233013313331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16118.

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 233013313331 its reverse (133313310332), we get a palindrome (366326623663).

The spelling of 233013313331 in words is "two hundred thirty-three billion, thirteen million, three hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 29 193 3307 5597 12589 95903 365081 638251 2429677 18509279 41631823 70460633 1207322867 8034941839 233013313331