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110011100221 = 11591314872657
BaseRepresentation
bin110011001110100101…
…1000010110000111101
3101111221212021221000101
41212131023002300331
53300300320201341
6122312143401101
710643114631421
oct1463513026075
9344855257011
10110011100221
1142723441950
12193a25b3191
13a4b28b5499
145478872b81
152cdd08b831
hex199d2c2c3d

110011100221 has 32 divisors (see below), whose sum is σ = 123276764160. Its totient is φ = 97327526400.

The previous prime is 110011100203. The next prime is 110011100231. The reversal of 110011100221 is 122001110011.

It is a cyclic number.

It is not a de Polignac number, because 110011100221 - 223 = 110002711613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110011100198 and 110011100207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110011100231) 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 31 ways as a sum of consecutive naturals, for example, 41402925 + ... + 41405581.

It is an arithmetic number, because the mean of its divisors is an integer number (3852398880).

Almost surely, 2110011100221 is an apocalyptic number.

110011100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110011100221 is a deficient number, since it is larger than the sum of its proper divisors (13265663939).

110011100221 is a wasteful number, since it uses less digits than its factorization.

110011100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110011100221 its reverse (122001110011), we get a palindrome (232012210232).

The spelling of 110011100221 in words is "one hundred ten billion, eleven million, one hundred thousand, two hundred twenty-one".

Divisors: 1 11 59 131 487 649 1441 2657 5357 7729 28733 29227 63797 85019 156763 316063 348067 701767 1293959 1724393 3764023 3828737 14233549 20535953 41404253 76343581 169508629 225895483 839779391 1864594919 10001009111 110011100221