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10211122110222 = 2331197117703853
BaseRepresentation
bin1001010010010111011001…
…0011100101111100001110
31100011011200122201200022000
42110211312103211330032
52314244334230011342
633414531424333130
72102505060564525
oct224456623457416
940134618650260
1010211122110222
113287570256250
12118ab981741a6
13590b9b7875b7
142743143c94bc
1512a934a2744c
hex949764e5f0e

10211122110222 has 64 divisors (see below), whose sum is σ = 24779730366720. Its totient is φ = 3091092559200.

The previous prime is 10211122110199. The next prime is 10211122110239. The reversal of 10211122110222 is 22201122111201.

10211122110222 is a `hidden beast` number, since 1 + 0 + 211 + 1 + 221 + 10 + 222 = 666.

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 = 10211122110195 and 10211122110204.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8275153 + ... + 9428700.

It is an arithmetic number, because the mean of its divisors is an integer number (387183286980).

Almost surely, 210211122110222 is an apocalyptic number.

10211122110222 is an abundant number, since it is smaller than the sum of its proper divisors (14568608256498).

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

10211122110222 is a wasteful number, since it uses less digits than its factorization.

10211122110222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17704846 (or 17704840 counting only the distinct ones).

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

Adding to 10211122110222 its reverse (22201122111201), we get a palindrome (32412244221423).

The spelling of 10211122110222 in words is "ten trillion, two hundred eleven billion, one hundred twenty-two million, one hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 971 1942 2913 5826 8739 10681 17478 21362 26217 32043 52434 64086 96129 192258 288387 576774 17703853 35407706 53111559 106223118 159334677 194742383 318669354 389484766 478004031 584227149 956008062 1168454298 1752681447 3505362894 5258044341 10516088682 17190441263 34380882526 51571323789 103142647578 154713971367 189094853893 309427942734 378189707786 464141914101 567284561679 928283828202 1134569123358 1701853685037 3403707370074 5105561055111 10211122110222