Search a number
-
+
1100233003221 = 321111113464679
BaseRepresentation
bin10000000000101010111…
…111110101000011010101
310220011220010111120001200
4100000222333311003111
5121011234122100341
62201235015343113
7142326541136142
oct20005277650325
93804803446050
101100233003221
11394673935840
12159295981a99
137c9a01494c1
143b3743db3c9
151d946178db6
hex1002aff50d5

1100233003221 has 12 divisors (see below), whose sum is σ = 1733700490080. Its totient is φ = 666807880680.

The previous prime is 1100233003217. The next prime is 1100233003267. The reversal of 1100233003221 is 1223003320011.

1100233003221 is a `hidden beast` number, since 1 + 10 + 0 + 2 + 330 + 0 + 322 + 1 = 666.

It is not a de Polignac number, because 1100233003221 - 22 = 1100233003217 is a prime.

It is a super-2 number, since 2×11002330032212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1100233003194 and 1100233003203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100233003721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5556732241 + ... + 5556732438.

It is an arithmetic number, because the mean of its divisors is an integer number (144475040840).

Almost surely, 21100233003221 is an apocalyptic number.

1100233003221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100233003221 is a deficient number, since it is larger than the sum of its proper divisors (633467486859).

1100233003221 is a wasteful number, since it uses less digits than its factorization.

1100233003221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11113464696 (or 11113464693 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1100233003221 its reverse (1223003320011), we get a palindrome (2323236323232).

The spelling of 1100233003221 in words is "one trillion, one hundred billion, two hundred thirty-three million, three thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 11113464679 33340394037 100021182111 122248111469 366744334407 1100233003221