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221101212210112 = 26131492461172469
BaseRepresentation
bin110010010001011100100011…
…001101101001001111000000
31001222212001212122010222121201
4302101130203031221033000
5212440010240311210422
62102124254503030544
764400015103565303
oct6221344315511700
91058761778128551
10221101212210112
11644a4552217813
122096aa9073b454
13964a9a7528b70
143c854da336b3a
151a8653b024727
hexc917233693c0

221101212210112 has 112 divisors (see below), whose sum is σ = 475694558388000. Its totient is φ = 101356318863360.

The previous prime is 221101212210037. The next prime is 221101212210119. The reversal of 221101212210112 is 211012212101122.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 221101212210112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221101212210119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3050940214 + ... + 3051012682.

It is an arithmetic number, because the mean of its divisors is an integer number (4247272842750).

Almost surely, 2221101212210112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221101212210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237847279194000).

221101212210112 is an abundant number, since it is smaller than the sum of its proper divisors (254593346177888).

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

221101212210112 is a wasteful number, since it uses less digits than its factorization.

221101212210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97254 (or 97244 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 221101212210112 its reverse (211012212101122), we get a palindrome (432113424311234).

The spelling of 221101212210112 in words is "two hundred twenty-one trillion, one hundred one billion, two hundred twelve million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 149 208 298 416 596 832 1192 1937 2384 3874 4768 7748 9536 15496 24611 30992 49222 61984 72469 98444 123968 144938 196888 289876 319943 393776 579752 639886 787552 942097 1159504 1279772 1575104 1884194 2319008 2559544 3667039 3768388 4638016 5119088 7334078 7536776 10238176 10797881 14668156 15073552 20476352 21595762 29336312 30147104 43191524 47671507 58672624 60294208 86383048 95343014 117345248 140372453 172766096 190686028 234690496 280744906 345532192 381372056 561489812 691064384 762744112 1122979624 1525488224 1783534559 2245959248 3050976448 3567069118 4491918496 7134138236 8983836992 14268276472 23185949267 28536552944 46371898534 57073105888 92743797068 114146211776 185487594136 265746649291 370975188272 531493298582 741950376544 1062986597164 1483900753088 2125973194328 3454706440783 4251946388656 6909412881566 8503892777312 13818825763132 17007785554624 27637651526264 55275303052528 110550606105056 221101212210112