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10083333 = 313475501
BaseRepresentation
bin100110011101…
…110000000101
3200222021201210
4212131300011
510040131313
61000042033
7151464321
oct46356005
920867653
1010083333
115767837
123463319
132120790
1414a6981
15d429c3
hex99dc05

10083333 has 16 divisors (see below), whose sum is σ = 14789376. Its totient is φ = 6072000.

The previous prime is 10083259. The next prime is 10083341. The reversal of 10083333 is 33338001.

It is not a de Polignac number, because 10083333 - 214 = 10066949 is a prime.

10083333 is a modest number, since divided by 3333 gives 1008 as remainder.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10083373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 918 + ... + 4583.

It is an arithmetic number, because the mean of its divisors is an integer number (924336).

Almost surely, 210083333 is an apocalyptic number.

10083333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10083333 is a deficient number, since it is larger than the sum of its proper divisors (4706043).

10083333 is a wasteful number, since it uses less digits than its factorization.

10083333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5564.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 10083333 is about 3175.4264280566. The cubic root of 10083333 is about 216.0402659844.

The spelling of 10083333 in words is "ten million, eighty-three thousand, three hundred thirty-three".

Divisors: 1 3 13 39 47 141 611 1833 5501 16503 71513 214539 258547 775641 3361111 10083333