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110412035105 = 5142929535233
BaseRepresentation
bin110011011010100010…
…0011111010000100001
3101112222210201112021112
41212311010133100201
53302110440110410
6122420025033105
710656053545661
oct1466504372041
9345883645245
10110412035105
1142909796199
1219494925795
13a547993468
1454b5bdc1a1
152d13387105
hex19b511f421

110412035105 has 16 divisors (see below), whose sum is σ = 132657404880. Its totient is φ = 88221063168.

The previous prime is 110412035077. The next prime is 110412035179. The reversal of 110412035105 is 501530214011.

It can be written as a sum of positive squares in 8 ways, for example, as 1955762176 + 108456272929 = 44224^2 + 329327^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-110412035105 is a prime.

It is a super-2 number, since 2×1104120351052 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21096569 + ... + 21101801.

It is an arithmetic number, because the mean of its divisors is an integer number (8291087805).

Almost surely, 2110412035105 is an apocalyptic number.

It is an amenable number.

110412035105 is a deficient number, since it is larger than the sum of its proper divisors (22245369775).

110412035105 is a wasteful number, since it uses less digits than its factorization.

110412035105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9620.

The product of its (nonzero) digits is 600, while the sum is 23.

Adding to 110412035105 its reverse (501530214011), we get a palindrome (611942249116).

The spelling of 110412035105 in words is "one hundred ten billion, four hundred twelve million, thirty-five thousand, one hundred five".

Divisors: 1 5 1429 2953 5233 7145 14765 26165 4219837 7477957 15453049 21099185 37389785 77265245 22082407021 110412035105