Search a number
-
+
1110110100121 = 112325717073101
BaseRepresentation
bin10000001001110111101…
…101111101101010011001
310221010101111000001211101
4100021313231331222121
5121142001141200441
62205551052031401
7143126364106051
oct20116755755231
93833344001741
101110110100121
11398882235940
1215b191762561
13808b5534539
143ba300ca561
151dd2335b231
hex10277b7da99

1110110100121 has 16 divisors (see below), whose sum is σ = 1268599771008. Its totient is φ = 961556992000.

The previous prime is 1110110100103. The next prime is 1110110100221. The reversal of 1110110100121 is 1210010110111.

It is not a de Polignac number, because 1110110100121 - 237 = 972671146649 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1110110100098 and 1110110100107.

It is not an unprimeable number, because it can be changed into a prime (1110110100101) 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 15 ways as a sum of consecutive naturals, for example, 8471530 + ... + 8601571.

It is an arithmetic number, because the mean of its divisors is an integer number (79287485688).

Almost surely, 21110110100121 is an apocalyptic number.

1110110100121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1110110100121 is a deficient number, since it is larger than the sum of its proper divisors (158489670887).

1110110100121 is a wasteful number, since it uses less digits than its factorization.

1110110100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17073392.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1110110100121 its reverse (1210010110111), we get a palindrome (2320120210232).

The spelling of 1110110100121 in words is "one trillion, one hundred ten billion, one hundred ten million, one hundred thousand, one hundred twenty-one".

Divisors: 1 11 23 253 257 2827 5911 65021 17073101 187804111 392681323 4319494553 4387786957 48265656527 100919100011 1110110100121