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110101000041 = 3239181312229
BaseRepresentation
bin110011010001010000…
…1111110111101101001
3101112012010110022101100
41212202201332331221
53300441324000131
6122325114312013
710645256026134
oct1464241767551
9345163408340
10110101000041
114276a164a1a
1219408728609
13a4c8400946
14548679521b
152ce5de87e6
hex19a287ef69

110101000041 has 12 divisors (see below), whose sum is σ = 159039346180. Its totient is φ = 73398558240.

The previous prime is 110100999959. The next prime is 110101000057. The reversal of 110101000041 is 140000101011.

It can be written as a sum of positive squares in 2 ways, for example, as 85261664016 + 24839336025 = 291996^2 + 157605^2 .

It is not a de Polignac number, because 110101000041 - 219 = 110100475753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110100999987 and 110101000032.

It is not an unprimeable number, because it can be changed into a prime (110101000741) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196515 + ... + 508743.

Almost surely, 2110101000041 is an apocalyptic number.

It is an amenable number.

110101000041 is a deficient number, since it is larger than the sum of its proper divisors (48938346139).

110101000041 is a wasteful number, since it uses less digits than its factorization.

110101000041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351416 (or 351413 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110101000041 its reverse (140000101011), we get a palindrome (250101101052).

The spelling of 110101000041 in words is "one hundred ten billion, one hundred one million, forty-one", and thus it is an aban number.

Divisors: 1 3 9 39181 117543 312229 352629 936687 2810061 12233444449 36700333347 110101000041