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1022101020111 = 310913924193307
BaseRepresentation
bin11101101111110011111…
…01111101110111001111
310121201012222101120111110
432313321331331313033
5113221230330120421
62101314032023103
7133562421216003
oct16677175756717
93551188346443
101022101020111
1136451a41a476
1214610b691a93
13754cb02a732
14376817a2703
151b8c1b9ba76
hexedf9f7ddcf

1022101020111 has 32 divisors (see below), whose sum is σ = 1390961017600. Its totient is φ = 667503659520.

The previous prime is 1022101020103. The next prime is 1022101020133. The reversal of 1022101020111 is 1110201012201.

It is not a de Polignac number, because 1022101020111 - 23 = 1022101020103 is a prime.

It is a super-3 number, since 3×10221010201113 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022101020211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10907520 + ... + 11000826.

It is an arithmetic number, because the mean of its divisors is an integer number (43467531800).

Almost surely, 21022101020111 is an apocalyptic number.

1022101020111 is a deficient number, since it is larger than the sum of its proper divisors (368859997489).

1022101020111 is a wasteful number, since it uses less digits than its factorization.

1022101020111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93799.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1022101020111 its reverse (1110201012201), we get a palindrome (2132302032312).

The spelling of 1022101020111 in words is "one trillion, twenty-two billion, one hundred one million, twenty thousand, one hundred eleven".

Divisors: 1 3 109 139 241 327 417 723 15151 26269 33499 45453 78807 93307 100497 279921 3651391 10170463 10954173 12969673 22486987 30511389 38909019 67460961 1413694357 2451081583 3125691193 4241083071 7353244749 9377073579 340700340037 1022101020111