Search a number
-
+
111002111122221 = 3311373744481893
BaseRepresentation
bin11001001111010010110001…
…011001110001101100101101
3112120000200211222102022212000
4121033102301121301230231
5104022124310421402341
61032025355455002513
732244431535515064
oct3117226131615455
9476020758368760
10111002111122221
1132406804a004a0
1210548b52509439
1349c25b9a50437
141d5a7608cb1db
15cc764648b8b6
hex64f4b1671b2d

111002111122221 has 16 divisors (see below), whose sum is σ = 179397351309120. Its totient is φ = 67274006740560.

The previous prime is 111002111122187. The next prime is 111002111122271. The reversal of 111002111122221 is 122221111200111.

It is a happy number.

111002111122221 is a `hidden beast` number, since 1 + 110 + 0 + 211 + 1 + 122 + 221 = 666.

It is not a de Polignac number, because 111002111122221 - 26 = 111002111122157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111002111122194 and 111002111122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111002111122271) 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, 186872240650 + ... + 186872241243.

It is an arithmetic number, because the mean of its divisors is an integer number (11212334456820).

Almost surely, 2111002111122221 is an apocalyptic number.

111002111122221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111002111122221 is a deficient number, since it is larger than the sum of its proper divisors (68395240186899).

111002111122221 is a wasteful number, since it uses less digits than its factorization.

111002111122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373744481913 (or 373744481907 counting only the distinct ones).

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

Adding to 111002111122221 its reverse (122221111200111), we get a palindrome (233223222322332).

The spelling of 111002111122221 in words is "one hundred eleven trillion, two billion, one hundred eleven million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 27 33 99 297 373744481893 1121233445679 3363700337037 4111189300823 10091101011111 12333567902469 37000703707407 111002111122221