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211212010221021 = 3531239557210619
BaseRepresentation
bin110000000001100010100000…
…110101110110110111011101
31000200211200010010220212100000
4300001202200311312313131
5210140444144104033041
62025113242531524513
762326364336611605
oct6001424065666735
91020750103825300
10211212010221021
1161331568536257
121b832376a59739
1390b1290004c54
143a22a04399c05
1519641982abbb6
hexc018a0d76ddd

211212010221021 has 96 divisors (see below), whose sum is σ = 328546171699200. Its totient is φ = 135451401301440.

The previous prime is 211212010221019. The next prime is 211212010221061. The reversal of 211212010221021 is 120122010212112.

211212010221021 is a `hidden beast` number, since 211 + 2 + 120 + 102 + 210 + 21 = 666.

It is not a de Polignac number, because 211212010221021 - 21 = 211212010221019 is a prime.

It is a super-2 number, since 2×2112120102210212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211212010220985 and 211212010221003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211212010221061) 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 95 ways as a sum of consecutive naturals, for example, 1002710250 + ... + 1002920868.

It is an arithmetic number, because the mean of its divisors is an integer number (3422355955200).

Almost surely, 2211212010221021 is an apocalyptic number.

It is an amenable number.

211212010221021 is a deficient number, since it is larger than the sum of its proper divisors (117334161478179).

211212010221021 is a wasteful number, since it uses less digits than its factorization.

211212010221021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211461 (or 211449 counting only the distinct ones).

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

Adding to 211212010221021 its reverse (120122010212112), we get a palindrome (331334020433133).

The spelling of 211212010221021 in words is "two hundred eleven trillion, two hundred twelve billion, ten million, two hundred twenty-one thousand, twenty-one".

Divisors: 1 3 9 27 31 81 93 239 243 279 557 717 837 1671 2151 2511 5013 6453 7409 7533 15039 17267 19359 22227 45117 51801 58077 66681 133123 135351 155403 200043 210619 399369 466209 600129 631857 1198107 1398627 1800387 1895571 3594321 4126813 4195881 5686713 6529189 10782963 12380439 17060139 19587567 32348889 37141317 50337941 51180417 58762701 111423951 117314783 151013823 176288103 334271853 351944349 453041469 528864309 1002815559 1055833047 1359124407 1560476171 1586592927 3167499141 3636758273 4077373221 4681428513 9502497423 10910274819 12232119663 14044285539 28038233137 28507492269 32730824457 42132856617 84114699411 98192473371 126398569851 252344098233 294577420113 379195709553 757032294699 869185227247 883732260339 2271096884097 2607555681741 6813290652291 7822667045223 23468001135669 70404003407007 211212010221021