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110210212212093 = 367196716965547
BaseRepresentation
bin11001000011110001010000…
…100011001010110101111101
3112110012222211011220121000000
4121003301100203022311331
5103421141003311241333
61030221512245024513
732133265541034630
oct3103612043126575
9473188734817000
10110210212212093
113213098568a4a4
121043b5890b5139
134965a1724c786
141d302ba425c17
15cb1c494b2713
hex643c508cad7d

110210212212093 has 112 divisors (see below), whose sum is σ = 201751582328320. Its totient is φ = 58772180177568.

The previous prime is 110210212212041. The next prime is 110210212212109. The reversal of 110210212212093 is 390212212012011.

110210212212093 is a `hidden beast` number, since 1 + 1 + 0 + 210 + 21 + 221 + 209 + 3 = 666.

It is not a de Polignac number, because 110210212212093 - 226 = 110210145103229 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110210212222093) 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 111 ways as a sum of consecutive naturals, for example, 1986655 + ... + 14978892.

Almost surely, 2110210212212093 is an apocalyptic number.

It is an amenable number.

110210212212093 is a deficient number, since it is larger than the sum of its proper divisors (91541370116227).

110210212212093 is an equidigital number, since it uses as much as digits as its factorization.

110210212212093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16965658 (or 16965643 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 110210212212093 in words is "one hundred ten trillion, two hundred ten billion, two hundred twelve million, two hundred twelve thousand, ninety-three".

Divisors: 1 3 7 9 19 21 27 57 63 67 81 133 171 189 201 243 399 469 513 567 603 729 1197 1273 1407 1539 1701 1809 3591 3819 4221 4617 5103 5427 8911 10773 11457 12663 13851 16281 26733 32319 34371 37989 48843 80199 96957 103113 113967 240597 309339 341901 721791 928017 2165373 6496119 16965547 50896641 118758829 152689923 322345393 356276487 458069769 967036179 1068829461 1136691649 1374209307 2256417751 2901108537 3206488383 3410074947 4122627921 6769253253 7956841543 8703325611 9619465149 10230224841 12367883763 20307759759 21597141331 23870524629 26109976833 28858395447 30690674523 60923279277 64791423993 71611573887 78329930499 86575186341 92072023569 151179989317 182769837831 194374271979 214834721661 234989791497 276216070707 453539967951 548309513493 583122815937 644504164983 828648212121 1360619903853 1644928540479 1749368447811 1933512494949 4081859711559 5248105343433 5800537484847 12245579134677 15744316030299 36736737404031 110210212212093