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10211212102212 = 223211133971924751
BaseRepresentation
bin1001010010010111101110…
…1010111000101001000100
31100011011220221001202002200
42110211323222320221010
52314300030244232322
633414544401234500
72102510232525042
oct224457352705104
940134827052080
1010211212102212
1132876070315a0
12118b002332a30
13590bb43059b4
14274322333392
1512a93c8a18ac
hex9497bab8a44

10211212102212 has 72 divisors (see below), whose sum is σ = 28160307407232. Its totient is φ = 3094074120000.

The previous prime is 10211212102207. The next prime is 10211212102219. The reversal of 10211212102212 is 21220121211201.

10211212102212 is a `hidden beast` number, since 1 + 0 + 211 + 21 + 210 + 221 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10211212102219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4342837 + ... + 6267587.

It is an arithmetic number, because the mean of its divisors is an integer number (391115380656).

Almost surely, 210211212102212 is an apocalyptic number.

10211212102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10211212102212 is an abundant number, since it is smaller than the sum of its proper divisors (17949095305020).

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

10211212102212 is a wasteful number, since it uses less digits than its factorization.

10211212102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938169 (or 1938164 counting only the distinct ones).

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

Adding to 10211212102212 its reverse (21220121211201), we get a palindrome (31431333313413).

The spelling of 10211212102212 in words is "ten trillion, two hundred eleven billion, two hundred twelve million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 13397 26794 40191 53588 80382 120573 147367 160764 241146 294734 442101 482292 589468 884202 1326303 1768404 1924751 2652606 3849502 5305212 5774253 7699004 11548506 17322759 21172261 23097012 34645518 42344522 63516783 69291036 84689044 127033566 190550349 254067132 381100698 762201396 25785889147 51571778294 77357667441 103143556588 154715334882 232073002323 283644780617 309430669764 464146004646 567289561234 850934341851 928292009292 1134579122468 1701868683702 2552803025553 3403737367404 5105606051106 10211212102212