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133044432122132 = 221812812448126713
BaseRepresentation
bin11110010000000011010010…
…000111011011000100010100
3122110001220221020011020021222
4132100003102013123010110
5114414244444110402012
61150543433544025512
740011100024602326
oct3620032207330424
9573056836136258
10133044432122132
11394349105209a3
1212b08a9b162298
1359310614664cb
1424bd55613d616
15105abce955972
hex7900d21db114

133044432122132 has 48 divisors (see below), whose sum is σ = 234965636387664. Its totient is φ = 65914103808000.

The previous prime is 133044432122099. The next prime is 133044432122137. The reversal of 133044432122132 is 231221234440331.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9744861048976 + 123299571073156 = 3121676^2 + 11104034^2 .

It is a junction number, because it is equal to n+sod(n) for n = 133044432122092 and 133044432122101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133044432122137) 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 15 ways as a sum of consecutive naturals, for example, 4980499208 + ... + 4980525920.

It is an arithmetic number, because the mean of its divisors is an integer number (4895117424743).

Almost surely, 2133044432122132 is an apocalyptic number.

It is an amenable number.

133044432122132 is a deficient number, since it is larger than the sum of its proper divisors (101921204265532).

133044432122132 is a wasteful number, since it uses less digits than its factorization.

133044432122132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51660 (or 51658 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

Adding to 133044432122132 its reverse (231221234440331), we get a palindrome (364265666562463).

The spelling of 133044432122132 in words is "one hundred thirty-three trillion, forty-four billion, four hundred thirty-two million, one hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 181 281 362 562 724 1124 24481 26713 48962 50861 53426 97924 101722 106852 203444 4431061 4835053 6879161 7506353 8862122 9670106 13758322 15012706 17724244 19340212 27516644 30025412 653960953 1245128141 1307921906 1358649893 2490256282 2615843812 2717299786 4980512564 5434599572 118366932493 183763027793 236733864986 367526055586 473467729972 735052111172 33261108030533 66522216061066 133044432122132