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33000222231121 is a prime number
BaseRepresentation
bin1111000000011011101101…
…00001100000101001010001
311022211210100020010112201111
413200031312201200221101
513311133423342343441
6154104032013533321
76644121161521405
oct740156641405121
9138753306115644
1033000222231121
11a573352154312
12384b7b77a4241
131554ba500b252
1482130d9b1105
153c3628cb9081
hex1e0376860a51

33000222231121 has 2 divisors, whose sum is σ = 33000222231122. Its totient is φ = 33000222231120.

The previous prime is 33000222231113. The next prime is 33000222231139. The reversal of 33000222231121 is 12113222200033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32921660307600 + 78561923521 = 5737740^2 + 280289^2 .

It is an emirp because it is prime and its reverse (12113222200033) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33000222231121 - 23 = 33000222231113 is a prime.

It is a super-2 number, since 2×330002222311212 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33000222231092 and 33000222231101.

It is not a weakly prime, because it can be changed into another prime (33000222232121) 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 as a sum of consecutive naturals, namely, 16500111115560 + 16500111115561.

It is an arithmetic number, because the mean of its divisors is an integer number (16500111115561).

Almost surely, 233000222231121 is an apocalyptic number.

It is an amenable number.

33000222231121 is a deficient number, since it is larger than the sum of its proper divisors (1).

33000222231121 is an equidigital number, since it uses as much as digits as its factorization.

33000222231121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 33000222231121 its reverse (12113222200033), we get a palindrome (45113444431154).

The spelling of 33000222231121 in words is "thirty-three trillion, two hundred twenty-two million, two hundred thirty-one thousand, one hundred twenty-one".