Search a number
-
+
11222221010121 = 32111930231973567
BaseRepresentation
bin1010001101001110000001…
…1111110011010011001001
31110201211111212200122011200
42203103200133303103021
52432331102034310441
635511230035014413
72235531045460362
oct243234037632311
943654455618150
1011222221010121
113637354219990
121312b3713a409
136353352c7614
142ab2308c8b69
15146db08667b6
hexa34e07f34c9

11222221010121 has 48 divisors (see below), whose sum is σ = 18620377251840. Its totient is φ = 6441245768160.

The previous prime is 11222221010113. The next prime is 11222221010131. The reversal of 11222221010121 is 12101012222211.

11222221010121 is a `hidden beast` number, since 112 + 222 + 210 + 1 + 0 + 121 = 666.

11222221010121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11222221010121 - 23 = 11222221010113 is a prime.

It is a super-3 number, since 3×112222210101213 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11222221010094 and 11222221010103.

It is not an unprimeable number, because it can be changed into a prime (11222221010111) 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, 4699480 + ... + 6673046.

It is an arithmetic number, because the mean of its divisors is an integer number (387924526080).

Almost surely, 211222221010121 is an apocalyptic number.

11222221010121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11222221010121 is a deficient number, since it is larger than the sum of its proper divisors (7398156241719).

11222221010121 is a wasteful number, since it uses less digits than its factorization.

11222221010121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976626 (or 1976623 counting only the distinct ones).

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

Adding to 11222221010121 its reverse (12101012222211), we get a palindrome (23323233232332).

The spelling of 11222221010121 in words is "eleven trillion, two hundred twenty-two billion, two hundred twenty-one million, ten thousand, one hundred twenty-one".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 3023 9069 27207 33253 57437 99759 172311 299277 516933 631807 1895421 1973567 5686263 5920701 17762103 21709237 37497773 65127711 112493319 195383133 337479957 412475503 1237426509 3712279527 5966093041 17898279123 53694837369 65627023451 113355767779 196881070353 340067303337 590643211059 1020201910011 1246913445569 3740740336707 11222221010121