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133332231132 = 223219718800371
BaseRepresentation
bin111110000101100111…
…0000110001111011100
3110202011011010010101200
41330023032012033130
54141031022344012
6141130232235500
712430045156632
oct1741316061734
9422134103350
10133332231132
1151600628761
1221a1083bb90
13c75b360529
14664bc75352
1537056813dc
hex1f0b3863dc

133332231132 has 36 divisors (see below), whose sum is σ = 338745102696. Its totient is φ = 44218470240.

The previous prime is 133332231101. The next prime is 133332231133. The reversal of 133332231132 is 231132233331.

133332231132 is a `hidden beast` number, since 1 + 333 + 322 + 3 + 1 + 1 + 3 + 2 = 666.

133332231132 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 133332231096 and 133332231105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133332231133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9393094 + ... + 9407277.

It is an arithmetic number, because the mean of its divisors is an integer number (9409586186).

Almost surely, 2133332231132 is an apocalyptic number.

133332231132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133332231132 is an abundant number, since it is smaller than the sum of its proper divisors (205412871564).

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

133332231132 is a wasteful number, since it uses less digits than its factorization.

133332231132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18800578 (or 18800573 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 133332231132 its reverse (231132233331), we get a palindrome (364464464463).

The spelling of 133332231132 in words is "one hundred thirty-three billion, three hundred thirty-two million, two hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 197 394 591 788 1182 1773 2364 3546 7092 18800371 37600742 56401113 75201484 112802226 169203339 225604452 338406678 676813356 3703673087 7407346174 11111019261 14814692348 22222038522 33333057783 44444077044 66666115566 133332231132