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212010222021102 = 23359611139653899
BaseRepresentation
bin110000001101001001111001…
…111110001110100111101110
31000210122222102220020122012000
4300031021321332032213232
5210242033413314133402
62030524052412553130
762441142641144031
oct6015117176164756
91023588386218160
10212010222021102
116160a03726597a
121b9410024827a6
13913b62a66355b
143a4d4c703b018
151979d145c6c1c
hexc0d279f8e9ee

212010222021102 has 128 divisors (see below), whose sum is σ = 491283109440000. Its totient is φ = 67728659120640.

The previous prime is 212010222021083. The next prime is 212010222021109. The reversal of 212010222021102 is 201120222010212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212010222021109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17134149 + ... + 26788047.

It is an arithmetic number, because the mean of its divisors is an integer number (3838149292500).

Almost surely, 2212010222021102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212010222021102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245641554720000).

212010222021102 is an abundant number, since it is smaller than the sum of its proper divisors (279272887418898).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212010222021102 is a wasteful number, since it uses less digits than its factorization.

212010222021102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9654143 (or 9654137 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212010222021102 its reverse (201120222010212), we get a palindrome (413130444031314).

The spelling of 212010222021102 in words is "two hundred twelve trillion, ten billion, two hundred twenty-two million, twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 59 61 113 118 122 177 183 226 339 354 366 531 549 678 1017 1062 1098 1593 1647 2034 3051 3186 3294 3599 6102 6667 6893 7198 10797 13334 13786 20001 20679 21594 32391 40002 41358 60003 62037 64782 97173 120006 124074 180009 186111 194346 360018 372222 406687 813374 1220061 2440122 3660183 7320366 9653899 10980549 19307798 21961098 28961697 57923394 86885091 173770182 260655273 521310546 569580041 588887839 1090890587 1139160082 1177775678 1708740123 1766663517 2181781174 3272671761 3417480246 3533327034 5126220369 5299990551 6545343522 9818015283 10252440738 10599981102 15378661107 15899971653 19636030566 29454045849 30757322214 31799943306 34744382501 58908091698 64362544633 66544325807 69488765002 104233147503 128725089266 133088651614 193087633899 199632977421 208466295006 312699442509 386175267798 399265954842 579262901697 598898932263 625398885018 938098327527 1158525803394 1197797864526 1737788705091 1796696796789 1876196655054 3475577410182 3593393593578 3926115222613 7852230445226 11778345667839 23556691335678 35335037003517 70670074007034 106005111010551 212010222021102