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33122212121 = 277281425533
BaseRepresentation
bin11110110110001111…
…001101100100011001
310011111100021201020002
4132312033031210121
51020313241241441
623114403542345
72251541105045
oct366617154431
9104440251202
1033122212121
1113057697229
12650468a9b5
13317b1993ab
141862d85025
15cdccadb9b
hex7b63cd919

33122212121 has 8 divisors (see below), whose sum is σ = 33360163464. Its totient is φ = 32885112960.

The previous prime is 33122212091. The next prime is 33122212127. The reversal of 33122212121 is 12121222133.

It can be written as a sum of positive squares in 4 ways, for example, as 373880896 + 32748331225 = 19336^2 + 180965^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33122212121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33122212093 and 33122212102.

It is not an unprimeable number, because it can be changed into a prime (33122212127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134930 + ... + 290603.

It is an arithmetic number, because the mean of its divisors is an integer number (4170020433).

Almost surely, 233122212121 is an apocalyptic number.

It is an amenable number.

33122212121 is a deficient number, since it is larger than the sum of its proper divisors (237951343).

33122212121 is a wasteful number, since it uses less digits than its factorization.

33122212121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426091.

The product of its digits is 288, while the sum is 20.

Adding to 33122212121 its reverse (12121222133), we get a palindrome (45243434254).

It can be divided in two parts, 331222 and 12121, that added together give a palindrome (343343).

The spelling of 33122212121 in words is "thirty-three billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twenty-one".

Divisors: 1 277 281 77837 425533 117872641 119574773 33122212121