Search a number
-
+
111022002202221 = 32111121434365679
BaseRepresentation
bin11001001111100101010011…
…000000001110011001101101
3112120002121012012222212221200
4121033211103000032121231
5104022441030030432341
61032042445333520113
732246034466066005
oct3117452300163155
9476077165885850
10111022002202221
11324141919a6290
1210550983aa3039
1349c44399b0466
141d5b6ca53d005
15cc7e0c88edb6
hex64f95300e66d

111022002202221 has 12 divisors (see below), whose sum is σ = 174943761046080. Its totient is φ = 67286061940680.

The previous prime is 111022002202183. The next prime is 111022002202339. The reversal of 111022002202221 is 122202200220111.

It is a happy number.

111022002202221 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 220 + 0 + 220 + 2 + 221 = 666.

It is not a de Polignac number, because 111022002202221 - 223 = 111021993813613 is a prime.

It is a super-3 number, since 3×1110220022022213 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111022002202194 and 111022002202203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111022002202721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 560717182741 + ... + 560717182938.

It is an arithmetic number, because the mean of its divisors is an integer number (14578646753840).

Almost surely, 2111022002202221 is an apocalyptic number.

111022002202221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111022002202221 is a deficient number, since it is larger than the sum of its proper divisors (63921758843859).

111022002202221 is a wasteful number, since it uses less digits than its factorization.

111022002202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121434365696 (or 1121434365693 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 111022002202221 its reverse (122202200220111), we get a palindrome (233224202422332).

The spelling of 111022002202221 in words is "one hundred eleven trillion, twenty-two billion, two million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 1121434365679 3364303097037 10092909291111 12335778022469 37007334067407 111022002202221