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106445565611 = 7115923430677
BaseRepresentation
bin110001100100010100…
…1100110111010101011
3101011202101010000000222
41203020221212322223
53221000031044421
6120522253520255
710455551243660
oct1431051467253
9334671100028
10106445565611
1141163823a30
12187684a308b
13a064cb19a8
14521b0d5a67
152b80036cab
hex18c8a66eab

106445565611 has 16 divisors (see below), whose sum is σ = 134960705280. Its totient is φ = 81538752480.

The previous prime is 106445565601. The next prime is 106445565619. The reversal of 106445565611 is 116565544601.

It is a cyclic number.

It is not a de Polignac number, because 106445565611 - 230 = 105371823787 is a prime.

It is a super-2 number, since 2×1064455656112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106445565619) 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 15 ways as a sum of consecutive naturals, for example, 11710796 + ... + 11719881.

It is an arithmetic number, because the mean of its divisors is an integer number (8435044080).

Almost surely, 2106445565611 is an apocalyptic number.

106445565611 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106445565611 is a deficient number, since it is larger than the sum of its proper divisors (28515139669).

106445565611 is a wasteful number, since it uses less digits than its factorization.

106445565611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23430754.

The product of its (nonzero) digits is 432000, while the sum is 44.

The spelling of 106445565611 in words is "one hundred six billion, four hundred forty-five million, five hundred sixty-five thousand, six hundred eleven".

Divisors: 1 7 11 59 77 413 649 4543 23430677 164014739 257737447 1382409943 1804162129 9676869601 15206509373 106445565611