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40105000001 = 112331446281
BaseRepresentation
bin100101010110011100…
…011011110001000001
310211111222122002102102
4211112130123301001
51124113340000001
630231325200145
72616560606153
oct452634336101
9124458562372
1040105000001
1116010255100
127933100055
133a21a56b41
141d26500ad3
15109ad27e6b
hex95671bc41

40105000001 has 6 divisors (see below), whose sum is σ = 44082355506. Its totient is φ = 36459090800.

The previous prime is 40104999983. The next prime is 40105000021. The reversal of 40105000001 is 10000050104.

It can be written as a sum of positive squares in only one way, i.e., 21451996225 + 18653003776 = 146465^2 + 136576^2 .

It is a de Polignac number, because none of the positive numbers 2k-40105000001 is a prime.

It is a super-2 number, since 2×401050000012 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40105000021) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 165723020 + ... + 165723261.

It is an arithmetic number, because the mean of its divisors is an integer number (7347059251).

Almost surely, 240105000001 is an apocalyptic number.

It is an amenable number.

40105000001 is a deficient number, since it is larger than the sum of its proper divisors (3977355505).

40105000001 is a wasteful number, since it uses less digits than its factorization.

40105000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331446303 (or 331446292 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

Adding to 40105000001 its reverse (10000050104), we get a palindrome (50105050105).

The spelling of 40105000001 in words is "forty billion, one hundred five million, one", and thus it is an aban number.

Divisors: 1 11 121 331446281 3645909091 40105000001