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212101011102222 = 23411239498008939
BaseRepresentation
bin110000001110011110011101…
…011011000101101000001110
31000210222122210010220211010000
4300032132131123011220032
5210300030332320232342
62031033505342025130
762450535531456444
oct6016363533055016
91023878703824100
10212101011102222
116164459633a320
121b95671b5781a6
139147068ab4828
143a53a5aa60b94
15197c379d7044c
hexc0e79d6c5a0e

212101011102222 has 80 divisors (see below), whose sum is σ = 520638466233600. Its totient is φ = 64004108711760.

The previous prime is 212101011102121. The next prime is 212101011102251. The reversal of 212101011102222 is 222201110101212.

212101011102222 is a `hidden beast` number, since 21 + 210 + 101 + 110 + 2 + 222 = 666.

212101011102222 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 212101011102195 and 212101011102204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 248578572 + ... + 249430367.

It is an arithmetic number, because the mean of its divisors is an integer number (6507980827920).

Almost surely, 2212101011102222 is an apocalyptic number.

212101011102222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212101011102222 is an abundant number, since it is smaller than the sum of its proper divisors (308537455131378).

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

212101011102222 is a wasteful number, since it uses less digits than its factorization.

212101011102222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498009203 (or 498009194 counting only the distinct ones).

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

Adding to 212101011102222 its reverse (222201110101212), we get a palindrome (434302121203434).

The spelling of 212101011102222 in words is "two hundred twelve trillion, one hundred one billion, eleven million, one hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 239 297 478 594 717 891 1434 1782 2151 2629 4302 5258 6453 7887 12906 15774 19359 23661 38718 47322 70983 141966 212949 425898 498008939 996017878 1494026817 2988053634 4482080451 5478098329 8964160902 10956196658 13446241353 16434294987 26892482706 32868589974 40338724059 49302884961 80677448118 98605769922 119024136421 147908654883 238048272842 295817309766 357072409263 443725964649 714144818526 887451929298 1071217227789 1309265500631 2142434455578 2618531001262 3213651683367 3927796501893 6427303366734 7855593003786 9640955050101 11783389505679 19281910100202 23566779011358 35350168517037 70700337034074 106050505551111 212101011102222