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221122100197 is a prime number
BaseRepresentation
bin1100110111101111100…
…1110111101111100101
3210010202101020112211201
43031323321313233211
512110324224201242
6245325422002501
721655416561025
oct3157371675745
9703671215751
10221122100197
118586072a759
1236a31416431
1317b0c314b0b
14a9b9419a85
155b4298e4b7
hex337be77be5

221122100197 has 2 divisors, whose sum is σ = 221122100198. Its totient is φ = 221122100196.

The previous prime is 221122100161. The next prime is 221122100249. The reversal of 221122100197 is 791001221122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 216858793761 + 4263306436 = 465681^2 + 65294^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221122100197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221122104197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110561050098 + 110561050099.

It is an arithmetic number, because the mean of its divisors is an integer number (110561050099).

Almost surely, 2221122100197 is an apocalyptic number.

It is an amenable number.

221122100197 is a deficient number, since it is larger than the sum of its proper divisors (1).

221122100197 is an equidigital number, since it uses as much as digits as its factorization.

221122100197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 28.

The spelling of 221122100197 in words is "two hundred twenty-one billion, one hundred twenty-two million, one hundred thousand, one hundred ninety-seven".