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111112002211221 = 321119740913929523
BaseRepresentation
bin11001010000111001000111…
…011011000000110110010101
3112120102012111110220001102100
4121100321013123000312111
5104030424340031224341
61032152052114232313
732255401665410544
oct3120710733006625
9476365443801370
10111112002211221
1132449376623110
1210566300885699
1349cca8080685b
141d61bc744015b
15cca428c1e3b6
hex650e476c0d95

111112002211221 has 48 divisors (see below), whose sum is σ = 176404606297920. Its totient is φ = 66834960917760.

The previous prime is 111112002211187. The next prime is 111112002211247. The reversal of 111112002211221 is 122112200211111.

It is a happy number.

111112002211221 is a `hidden beast` number, since 1 + 11 + 11 + 200 + 221 + 1 + 221 = 666.

It is not a de Polignac number, because 111112002211221 - 26 = 111112002211157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111112002211194 and 111112002211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111112002211291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1011966 + ... + 14941488.

It is an arithmetic number, because the mean of its divisors is an integer number (3675095964540).

Almost surely, 2111112002211221 is an apocalyptic number.

111112002211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111112002211221 is a deficient number, since it is larger than the sum of its proper divisors (65292604086699).

111112002211221 is a wasteful number, since it uses less digits than its factorization.

111112002211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13930146 (or 13930143 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 111112002211221 its reverse (122112200211111), we get a palindrome (233224202422332).

The spelling of 111112002211221 in words is "one hundred eleven trillion, one hundred twelve billion, two million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 197 409 591 1227 1773 2167 3681 4499 6501 13497 19503 40491 80573 241719 725157 886303 2658909 7976727 13929523 41788569 125365707 153224753 459674259 1379022777 2744116031 5697174907 8232348093 17091524721 24697044279 30185276341 51274574163 62668923977 90555829023 188006771931 271667487069 564020315793 1122343456679 3367030370037 10101091110111 12345778023469 37037334070407 111112002211221