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110221221011022 = 232112002972779237
BaseRepresentation
bin11001000011111011100000…
…101110011001111001001110
3112110021001020101220112002200
4121003323200232121321032
5103421331030034323042
61030230532505502330
732134135415215422
oct3103734056317116
9473231211815080
10110221221011022
1132135614888030
121044173baa19a6
134966a7cc38094
141d30a42546b82
15cb2190bddc4c
hex643ee0b99e4e

110221221011022 has 48 divisors (see below), whose sum is σ = 260524280448432. Its totient is φ = 33400191231360.

The previous prime is 110221221010991. The next prime is 110221221011047. The reversal of 110221221011022 is 220110122122011.

110221221011022 is a `hidden beast` number, since 110 + 2 + 212 + 210 + 110 + 22 = 666.

It is a super-3 number, since 3×1102212210110223 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 110221221010986 and 110221221011004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38269188 + ... + 41048424.

It is an arithmetic number, because the mean of its divisors is an integer number (5427589176009).

Almost surely, 2110221221011022 is an apocalyptic number.

110221221011022 is an abundant number, since it is smaller than the sum of its proper divisors (150303059437410).

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

110221221011022 is a wasteful number, since it uses less digits than its factorization.

110221221011022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979553 (or 2979550 counting only the distinct ones).

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

Adding to 110221221011022 its reverse (220110122122011), we get a palindrome (330331343133033).

The spelling of 110221221011022 in words is "one hundred ten trillion, two hundred twenty-one billion, two hundred twenty-one million, eleven thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 200297 400594 600891 1201782 1802673 2203267 2779237 3605346 4406534 5558474 6609801 8337711 13219602 16675422 19829403 25013133 30571607 39658806 50026266 61143214 91714821 183429642 275144463 550288926 556672833389 1113345666778 1670018500167 3340037000334 5010055500501 6123401167279 10020111001002 12246802334558 18370203501837 36740407003674 55110610505511 110221221011022