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221200120117 is a prime number
BaseRepresentation
bin1100111000000010001…
…1011111100100110101
3210010221211001101001101
43032000203133210311
512111004212320432
6245341250130101
721660354666244
oct3160043374465
9703854041041
10221200120117
11858a0779229
1236a53580931
1317b22530b52
14a9c592895b
155b497514e7
hex33808df935

221200120117 has 2 divisors, whose sum is σ = 221200120118. Its totient is φ = 221200120116.

The previous prime is 221200120111. The next prime is 221200120147. The reversal of 221200120117 is 711021002122.

221200120117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 220112043921 + 1088076196 = 469161^2 + 32986^2 .

It is a cyclic number.

It is not a de Polignac number, because 221200120117 - 27 = 221200119989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221200120094 and 221200120103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221200120111) 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, 110600060058 + 110600060059.

It is an arithmetic number, because the mean of its divisors is an integer number (110600060059).

Almost surely, 2221200120117 is an apocalyptic number.

It is an amenable number.

221200120117 is a deficient number, since it is larger than the sum of its proper divisors (1).

221200120117 is an equidigital number, since it uses as much as digits as its factorization.

221200120117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 221200120117 its reverse (711021002122), we get a palindrome (932221122239).

The spelling of 221200120117 in words is "two hundred twenty-one billion, two hundred million, one hundred twenty thousand, one hundred seventeen".