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212130454221 = 327172322912911
BaseRepresentation
bin1100010110001111110…
…1011101101011001101
3202021112201212121101200
43011203331131223031
511433420344013341
6241241255500113
721216535052520
oct3054375355315
9667481777350
10212130454221
1181a67124a84
1235142087639
13170084cb13a
14a3a517abb7
1557b83b2db6
hex3163f5dacd

212130454221 has 144 divisors (see below), whose sum is σ = 401001269760. Its totient is φ = 105355514880.

The previous prime is 212130454213. The next prime is 212130454229. The reversal of 212130454221 is 122454031212.

212130454221 is a `hidden beast` number, since 21 + 213 + 0 + 4 + 5 + 422 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (212130454213) and next prime (212130454229).

It is not a de Polignac number, because 212130454221 - 23 = 212130454213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212130454229) 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 143 ways as a sum of consecutive naturals, for example, 16423756 + ... + 16436666.

It is an arithmetic number, because the mean of its divisors is an integer number (2784731040).

Almost surely, 2212130454221 is an apocalyptic number.

212130454221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212130454221 is a deficient number, since it is larger than the sum of its proper divisors (188870815539).

212130454221 is a wasteful number, since it uses less digits than its factorization.

212130454221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13016 (or 12990 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 212130454221 its reverse (122454031212), we get a palindrome (334584485433).

The spelling of 212130454221 in words is "two hundred twelve billion, one hundred thirty million, four hundred fifty-four thousand, two hundred twenty-one".

Divisors: 1 3 7 9 17 21 23 29 51 63 69 87 119 153 161 203 207 261 357 391 483 493 529 609 667 1071 1173 1449 1479 1587 1827 2001 2737 3451 3519 3703 4437 4669 4761 6003 8211 8993 10353 11109 11339 12911 14007 15341 24633 26979 31059 33327 34017 38733 42021 46023 62951 79373 80937 90377 102051 107387 116199 138069 188853 219487 238119 260797 271131 296953 322161 374419 566559 658461 714357 782391 813393 890859 966483 1123257 1536409 1825579 1975383 2078671 2347173 2620933 2672577 3369771 4609227 5048201 5476737 6236013 6365123 6829919 7862799 8611637 13827681 15144603 16430211 18708039 19095369 20489757 23588397 25834911 35337407 44555861 45433809 47809433 57286107 60281459 61469271 77504733 106012221 116108623 133667583 143428299 146397829 180844377 198067651 318036663 348325869 401002749 430284897 439193487 542533131 594202953 812760361 1024784803 1044977607 1317580461 1386473557 1782608859 2438281083 3074354409 3367150067 4159420671 7314843249 9223063227 10101450201 12478262013 23570050469 30304350603 70710151407 212130454221