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1022220213101 is a prime number
BaseRepresentation
bin11101110000000010001…
…00101001101101101101
310121201112021200012112122
432320001010221231231
5113222001333304401
62101333530442325
7133565366306303
oct16700104515555
93551467605478
101022220213101
1136458072a97a
121461435933a5
1375519931229
143769354c273
151b8cc39321b
hexee01129b6d

1022220213101 has 2 divisors, whose sum is σ = 1022220213102. Its totient is φ = 1022220213100.

The previous prime is 1022220213067. The next prime is 1022220213121. The reversal of 1022220213101 is 1013120222201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 714871941001 + 307348272100 = 845501^2 + 554390^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022220213101 - 26 = 1022220213037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1022220213101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022220213121) 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, 511110106550 + 511110106551.

It is an arithmetic number, because the mean of its divisors is an integer number (511110106551).

Almost surely, 21022220213101 is an apocalyptic number.

It is an amenable number.

1022220213101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022220213101 is an equidigital number, since it uses as much as digits as its factorization.

1022220213101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1022220213101 its reverse (1013120222201), we get a palindrome (2035340435302).

It can be divided in two parts, 1022220 and 213101, that added together give a palindrome (1235321).

The spelling of 1022220213101 in words is "one trillion, twenty-two billion, two hundred twenty million, two hundred thirteen thousand, one hundred one".