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2211112220033 is a prime number
BaseRepresentation
bin100000001011010000100…
…011101111010110000001
321211101021012201210122102
4200023100203233112001
5242211324212020113
64411434304320145
7315514264524023
oct40132043572601
97741235653572
102211112220033
11782800228402
122b8641013055
13130678b0c872
14790386d4013
153c7b1cab758
hex202d08ef581

2211112220033 has 2 divisors, whose sum is σ = 2211112220034. Its totient is φ = 2211112220032.

The previous prime is 2211112220029. The next prime is 2211112220117. The reversal of 2211112220033 is 3300222111122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1409329871104 + 801782348929 = 1187152^2 + 895423^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211112220033 - 22 = 2211112220029 is a prime.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2211112219987 and 2211112220014.

It is not a weakly prime, because it can be changed into another prime (2211112225033) 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, 1105556110016 + 1105556110017.

It is an arithmetic number, because the mean of its divisors is an integer number (1105556110017).

Almost surely, 22211112220033 is an apocalyptic number.

It is an amenable number.

2211112220033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211112220033 is an equidigital number, since it uses as much as digits as its factorization.

2211112220033 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2211112220033 its reverse (3300222111122), we get a palindrome (5511334331155).

The spelling of 2211112220033 in words is "two trillion, two hundred eleven billion, one hundred twelve million, two hundred twenty thousand, thirty-three".