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211211210112021 = 3272231071741111781
BaseRepresentation
bin110000000001100001110001…
…001001101011110000010101
31000200211121001101101010010100
4300001201301021223300111
5210140441024242041041
62025113031310444313
762326335453032400
oct6001416111536025
91020747041333110
10211211210112021
1161331197930549
121b832192b03699
1390b1193314582
143a2296a002d37
15196414ce126b6
hexc0187126bc15

211211210112021 has 144 divisors (see below), whose sum is σ = 374001403171968. Its totient is φ = 114299002540800.

The previous prime is 211211210111983. The next prime is 211211210112031. The reversal of 211211210112021 is 120211012112112.

It is a happy number.

211211210112021 is a `hidden beast` number, since 211 + 211 + 2 + 101 + 120 + 21 = 666.

It is not a de Polignac number, because 211211210112021 - 227 = 211211075894293 is a prime.

It is a super-2 number, since 2×2112112101120212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211211210111985 and 211211210112003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211211210112031) 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 in 143 ways as a sum of consecutive naturals, for example, 1889453151 + ... + 1889564931.

It is an arithmetic number, because the mean of its divisors is an integer number (2597231966472).

Almost surely, 2211211210112021 is an apocalyptic number.

211211210112021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211211210112021 is a deficient number, since it is larger than the sum of its proper divisors (162790193059947).

211211210112021 is a wasteful number, since it uses less digits than its factorization.

211211210112021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113672 (or 113662 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211211210112021 its reverse (120211012112112), we get a palindrome (331422222224133).

The spelling of 211211210112021 in words is "two hundred eleven trillion, two hundred eleven billion, two hundred ten million, one hundred twelve thousand, twenty-one".

Divisors: 1 3 7 9 21 23 49 63 69 107 147 161 207 321 441 483 749 963 1127 1449 1741 2247 2461 3381 5223 5243 6741 7383 10143 12187 15669 15729 17227 22149 36561 40043 47187 51681 85309 109683 111781 120129 120589 155043 186287 255927 280301 335343 360387 361767 558861 767781 782467 840903 1006029 1085301 1304009 1676583 1962107 2347401 2522709 2570963 3912027 4284601 5477269 5886321 7042203 7712889 9128063 11736081 11960567 12853803 16431807 17658963 17996741 23138667 27384189 29992207 35881701 38561409 49295421 53990223 82152567 83723969 89976621 107645103 125977187 161970669 194610721 209945449 251171907 269929863 275093041 377931561 583832163 586067783 629836347 753515721 825279123 1133794683 1362275047 1751496489 1758203349 1889509041 1925651287 2475837369 4086825141 4476046583 5274610047 5776953861 9535925329 12260475423 13428139749 13479559009 17330861583 20823347147 28607775987 31332326081 40284419247 40438677027 62470041441 85823327961 93996978243 121316031081 145763430029 187410124323 219326282567 281990934729 437290290087 478936984381 657978847701 1020344010203 1311870870261 1436810953143 1973936543103 3061032030609 3352558890667 4310432859429 9183096091827 10057676672001 23467912234669 30173030016003 70403736704007 211211210112021