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2221042353133 is a prime number
BaseRepresentation
bin100000010100100000011…
…100001100001111101101
321212022220021000211101211
4200110200130030033231
5242342143320300013
64420155513434421
7316315333335262
oct40244034141755
97768807024354
102221042353133
11786a3656237a
122ba55270ba11
1313159c1a6c76
14796db46b269
153cb9396823d
hex2052070c3ed

2221042353133 has 2 divisors, whose sum is σ = 2221042353134. Its totient is φ = 2221042353132.

The previous prime is 2221042353071. The next prime is 2221042353143. The reversal of 2221042353133 is 3313532401222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2090227760644 + 130814592489 = 1445762^2 + 361683^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221042353133 - 221 = 2221040255981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2221042353095 and 2221042353104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221042353143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110521176566 + 1110521176567.

It is an arithmetic number, because the mean of its divisors is an integer number (1110521176567).

Almost surely, 22221042353133 is an apocalyptic number.

It is an amenable number.

2221042353133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221042353133 is an equidigital number, since it uses as much as digits as its factorization.

2221042353133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 2221042353133 its reverse (3313532401222), we get a palindrome (5534574754355).

The spelling of 2221042353133 in words is "two trillion, two hundred twenty-one billion, forty-two million, three hundred fifty-three thousand, one hundred thirty-three".