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133303122222012 = 223226831380120949
BaseRepresentation
bin11110010011110100001101…
…001111110101101110111100
3122110222122122210012220101100
4132103310031033311232330
5114433014243242101022
61151302335310413100
740035555431301261
oct3623641517655674
9573878583186340
10133303122222012
113952459a31a876
1212b4b055b01190
13594c579a1c622
1424cbc96b37268
1510627c06341ac
hex793d0d3f5bbc

133303122222012 has 36 divisors (see below), whose sum is σ = 337086261311800. Its totient is φ = 44417812590432.

The previous prime is 133303122221903. The next prime is 133303122222013. The reversal of 133303122222012 is 210222221303331.

133303122222012 is a `hidden beast` number, since 1 + 3 + 3 + 303 + 122 + 2 + 220 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133303122222013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 689963887 + ... + 690157062.

Almost surely, 2133303122222012 is an apocalyptic number.

133303122222012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133303122222012 is an abundant number, since it is smaller than the sum of its proper divisors (203783139089788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133303122222012 is a wasteful number, since it uses less digits than its factorization.

133303122222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380123642 (or 1380123637 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 133303122222012 its reverse (210222221303331), we get a palindrome (343525343525343).

The spelling of 133303122222012 in words is "one hundred thirty-three trillion, three hundred three billion, one hundred twenty-two million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 2683 5366 8049 10732 16098 24147 32196 48294 96588 1380120949 2760241898 4140362847 5520483796 8280725694 12421088541 16561451388 24842177082 49684354164 3702864506167 7405729012334 11108593518501 14811458024668 22217187037002 33325780555503 44434374074004 66651561111006 133303122222012