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110110121 = 1127911519
BaseRepresentation
bin1101001000000…
…10010110101001
321200012011200122
412210002112221
5211142010441
614532013025
72504630522
oct644022651
9250164618
10110110121
1157177400
1230a61175
1319a73524
14108a3849
159a0034b
hex69025a9

110110121 has 12 divisors (see below), whose sum is σ = 122572800. Its totient is φ = 98824440.

The previous prime is 110110079. The next prime is 110110127. The reversal of 110110121 is 121011011.

110110121 = 12592 + 12602 + ... + 13242.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-110110121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110110099 and 110110108.

It is not an unprimeable number, because it can be changed into a prime (110110127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3800 + ... + 15318.

It is an arithmetic number, because the mean of its divisors is an integer number (10214400).

Almost surely, 2110110121 is an apocalyptic number.

110110121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110110121 is a deficient number, since it is larger than the sum of its proper divisors (12462679).

110110121 is a wasteful number, since it uses less digits than its factorization.

110110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11620 (or 11609 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

The square root of 110110121 is about 10493.3369811514. The cubic root of 110110121 is about 479.3018220614.

Adding to 110110121 its reverse (121011011), we get a palindrome (231121132).

The spelling of 110110121 in words is "one hundred ten million, one hundred ten thousand, one hundred twenty-one".

Divisors: 1 11 79 121 869 9559 11519 126709 910001 1393799 10010011 110110121