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105555420441 = 3211728380049
BaseRepresentation
bin110001001001110010…
…1111110010100011001
3101002110100010221102100
41202103211332110121
53212134141423231
6120254054554013
710424522161362
oct1422345762431
9332410127370
10105555420441
1140847312769
121855a368909
139c52758a83
145174bc2b69
152b2bd051e6
hex189397e519

105555420441 has 6 divisors (see below), whose sum is σ = 152468940650. Its totient is φ = 70370280288.

The previous prime is 105555420427. The next prime is 105555420497. The reversal of 105555420441 is 144024555501.

105555420441 is a `hidden beast` number, since 10 + 55 + 554 + 2 + 0 + 4 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 98222067216 + 7333353225 = 313404^2 + 85635^2 .

It is not a de Polignac number, because 105555420441 - 29 = 105555419929 is a prime.

It is a super-2 number, since 2×1055554204412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105555420396 and 105555420405.

It is not an unprimeable number, because it can be changed into a prime (105555420941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5864190016 + ... + 5864190033.

Almost surely, 2105555420441 is an apocalyptic number.

It is an amenable number.

105555420441 is a deficient number, since it is larger than the sum of its proper divisors (46913520209).

105555420441 is a wasteful number, since it uses less digits than its factorization.

105555420441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11728380055 (or 11728380052 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

Adding to 105555420441 its reverse (144024555501), we get a palindrome (249579975942).

The spelling of 105555420441 in words is "one hundred five billion, five hundred fifty-five million, four hundred twenty thousand, four hundred forty-one".

Divisors: 1 3 9 11728380049 35185140147 105555420441