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33021213121332 = 2232917255920037
BaseRepresentation
bin1111000001000010110011…
…01011011001101100110100
311022220210112010012020210200
413200201121223121230310
513312004421024340312
6154121422541320500
76645463305245142
oct740413153315464
9138823463166720
1033021213121332
11a581243a44867
123853895566130
131556b6ba83747
14822341712592
153c3e56a170dc
hex1e0859ad9b34

33021213121332 has 18 divisors (see below), whose sum is σ = 83470288723458. Its totient is φ = 11007071040432.

The previous prime is 33021213121313. The next prime is 33021213121363. The reversal of 33021213121332 is 23312131212033.

33021213121332 is a `hidden beast` number, since 3 + 3 + 0 + 2 + 12 + 1 + 312 + 1 + 332 = 666.

33021213121332 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 20916408314916 + 12104804806416 = 4573446^2 + 3479196^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 33021213121296 and 33021213121305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 458627959983 + ... + 458627960054.

Almost surely, 233021213121332 is an apocalyptic number.

It is an amenable number.

33021213121332 is an abundant number, since it is smaller than the sum of its proper divisors (50449075602126).

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

33021213121332 is a wasteful number, since it uses less digits than its factorization.

33021213121332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917255920047 (or 917255920042 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 33021213121332 its reverse (23312131212033), we get a palindrome (56333344333365).

The spelling of 33021213121332 in words is "thirty-three trillion, twenty-one billion, two hundred thirteen million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 917255920037 1834511840074 2751767760111 3669023680148 5503535520222 8255303280333 11007071040444 16510606560666 33021213121332