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2211222100117 is a prime number
BaseRepresentation
bin100000001011010111000…
…110111001100010010101
321211101112212111021210011
4200023113012321202111
5242212040324200432
64411453231400221
7315520100506102
oct40132706714225
97741485437704
102211222100117
11782857257998
122b8671983071
13130695802474
1479049137aa9
153c7bb763847
hex202d71b9895

2211222100117 has 2 divisors, whose sum is σ = 2211222100118. Its totient is φ = 2211222100116.

The previous prime is 2211222100099. The next prime is 2211222100121. The reversal of 2211222100117 is 7110012221122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1314212324881 + 897009775236 = 1146391^2 + 947106^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2211222100117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2211222100817) 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, 1105611050058 + 1105611050059.

It is an arithmetic number, because the mean of its divisors is an integer number (1105611050059).

Almost surely, 22211222100117 is an apocalyptic number.

It is an amenable number.

2211222100117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211222100117 is an equidigital number, since it uses as much as digits as its factorization.

2211222100117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 22.

Adding to 2211222100117 its reverse (7110012221122), we get a palindrome (9321234321239).

The spelling of 2211222100117 in words is "two trillion, two hundred eleven billion, two hundred twenty-two million, one hundred thousand, one hundred seventeen".