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405311025111101 = 12771450692187877
BaseRepresentation
bin101110000101000001101001…
…1101011001110000000111101
31222011002100121012222221111022
41130022003103223032000331
5411111103434412023401
63554005151531033525
7151241520020340164
oct13412032353160075
91864070535887438
10405311025111101
1110816549326961a
123955bbaa29b8a5
131452088661aba5
14721323049c3db
1531cd10adad71b
hex170a0d3ace03d

405311025111101 has 8 divisors (see below), whose sum is σ = 405631399745880. Its totient is φ = 404990655144768.

The previous prime is 405311025111053. The next prime is 405311025111121. The reversal of 405311025111101 is 101111520113504.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 73665914923225 + 331645110187876 = 8582885^2 + 18211126^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 405311025111101 - 218 = 405311024848957 is a prime.

It is a super-2 number, since 2×4053110251111012 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405311025111121) 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 7 ways as a sum of consecutive naturals, for example, 184159175 + ... + 186347051.

It is an arithmetic number, because the mean of its divisors is an integer number (50703924968235).

Almost surely, 2405311025111101 is an apocalyptic number.

It is an amenable number.

405311025111101 is a deficient number, since it is larger than the sum of its proper divisors (320374634779).

405311025111101 is a wasteful number, since it uses less digits than its factorization.

405311025111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334223.

The product of its (nonzero) digits is 600, while the sum is 26.

Adding to 405311025111101 its reverse (101111520113504), we get a palindrome (506422545224605).

The spelling of 405311025111101 in words is "four hundred five trillion, three hundred eleven billion, twenty-five million, one hundred eleven thousand, one hundred one".

Divisors: 1 1277 145069 2187877 185253113 2793918929 317393128513 405311025111101