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111210222012021 = 321121721210129201
BaseRepresentation
bin11001010010010100100101…
…110001110100011001110101
3112120202121000120202220110100
4121102110211301310121311
5104034032013313341041
61032305134245344313
732265446655061116
oct3122244561643165
9476677016686410
10111210222012021
1132486a99099200
1210581352408099
134a09104569a92
141d66863ca020d
15cccc76a126b6
hex652525c74675

111210222012021 has 108 divisors (see below), whose sum is σ = 187587162411012. Its totient is φ = 63428006400000.

The previous prime is 111210222012017. The next prime is 111210222012053. The reversal of 111210222012021 is 120210222012111.

111210222012021 is a `hidden beast` number, since 111 + 210 + 2 + 220 + 120 + 2 + 1 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 33864089549796 + 77346132462225 = 5819286^2 + 8794665^2 .

It is not a de Polignac number, because 111210222012021 - 22 = 111210222012017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111210222011985 and 111210222012003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111210222012121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3808424221 + ... + 3808453421.

Almost surely, 2111210222012021 is an apocalyptic number.

111210222012021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111210222012021 is a deficient number, since it is larger than the sum of its proper divisors (76376940398991).

111210222012021 is a wasteful number, since it uses less digits than its factorization.

111210222012021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41364 (or 41333 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 111210222012021 its reverse (120210222012111), we get a palindrome (231420444024132).

The spelling of 111210222012021 in words is "one hundred eleven trillion, two hundred ten billion, two hundred twenty-two million, twelve thousand, twenty-one".

Divisors: 1 3 9 11 17 33 51 99 121 153 187 289 363 561 867 1089 1683 2057 2601 3179 6171 9537 12101 18513 28611 29201 34969 36303 87603 104907 108909 133111 205717 262809 314721 321211 399333 496417 617151 963633 1197999 1464221 1489251 1851453 2262887 2890899 3497189 3533321 4392663 4467753 5460587 6788661 8439089 10491567 10599963 13177989 16381761 20365983 24891757 25317267 31474701 31799889 38469079 49145283 60066457 74675271 75951801 92829979 115407237 180199371 224025813 278489937 346221711 353361301 423159869 540598113 835469811 1021129769 1060083903 1269479607 3063389307 3180251709 3808438821 3886974311 6007142117 9190167921 11660922933 18021426351 34982768799 42756717421 54064279053 66078563287 102121415989 128270152263 198235689861 306364247967 384810456789 594707069583 726864196157 919092743901 1123335575879 2180592588471 3370006727637 6541777765413 10110020182911 12356691334669 37070074004007 111210222012021