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1022101110205 = 57316187717609
BaseRepresentation
bin11101101111110011111…
…10010011110110111101
310121201012222120011002021
432313321332103312331
5113221230341011310
62101314034000141
7133562422042450
oct16677176236675
93551188504067
101022101110205
1136451a48112a
1214610b716051
13754cb05c746
14376817c7497
151b8c1bb85da
hexedf9f93dbd

1022101110205 has 64 divisors (see below), whose sum is σ = 1472437186560. Its totient is φ = 666343065600.

The previous prime is 1022101110197. The next prime is 1022101110241. The reversal of 1022101110205 is 5020111012201.

It is not a de Polignac number, because 1022101110205 - 23 = 1022101110197 is a prime.

It is a super-3 number, since 3×10221011102053 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58035441 + ... + 58053049.

It is an arithmetic number, because the mean of its divisors is an integer number (23006831040).

Almost surely, 21022101110205 is an apocalyptic number.

It is an amenable number.

1022101110205 is a deficient number, since it is larger than the sum of its proper divisors (450336076355).

1022101110205 is a wasteful number, since it uses less digits than its factorization.

1022101110205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18590.

The product of its (nonzero) digits is 40, while the sum is 16.

Adding to 1022101110205 its reverse (5020111012201), we get a palindrome (6042212122406).

The spelling of 1022101110205 in words is "one trillion, twenty-two billion, one hundred one million, one hundred ten thousand, two hundred five".

Divisors: 1 5 7 31 35 61 155 217 305 427 877 1085 1891 2135 4385 6139 9455 13237 17609 27187 30695 53497 66185 88045 123263 135935 190309 267485 374479 545879 616315 951545 1074149 1658407 1872395 2729395 3821153 5370745 7519043 8292035 11608849 15443093 19105765 33298619 37595215 58044245 77215465 108101651 166493095 233090333 478735883 540508255 942028673 1165451665 2393679415 3351151181 4710143365 6594200711 16755755905 29202888863 32971003555 146014444315 204420222041 1022101110205