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10133332011 = 331157159753
BaseRepresentation
bin10010110111111111…
…00110000000101011
3222011012122121021000
421123333212000223
5131223113111021
64353304250043
7506053621005
oct113377460053
928135577230
1010133332011
114330002360
121b69770923
13c5650175a
146c1b4d375
153e4948b26
hex25bfe602b

10133332011 has 32 divisors (see below), whose sum is σ = 16406058240. Its totient is φ = 6130555200.

The previous prime is 10133331961. The next prime is 10133332051. The reversal of 10133332011 is 11023333101.

It is a happy number.

10133332011 is a `hidden beast` number, since 1 + 0 + 1 + 333 + 320 + 11 = 666.

It is not a de Polignac number, because 10133332011 - 29 = 10133331499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10133332051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139711 + ... + 199463.

It is an arithmetic number, because the mean of its divisors is an integer number (512689320).

Almost surely, 210133332011 is an apocalyptic number.

10133332011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10133332011 is a deficient number, since it is larger than the sum of its proper divisors (6272726229).

10133332011 is a wasteful number, since it uses less digits than its factorization.

10133332011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60344 (or 60338 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10133332011 its reverse (11023333101), we get a palindrome (21156665112).

The spelling of 10133332011 in words is "ten billion, one hundred thirty-three million, three hundred thirty-two thousand, eleven".

Divisors: 1 3 9 11 27 33 99 297 571 1713 5139 6281 15417 18843 56529 59753 169587 179259 537777 657283 1613331 1971849 5915547 17746641 34118963 102356889 307070667 375308593 921212001 1125925779 3377777337 10133332011