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106655230044 = 223211269331389
BaseRepresentation
bin110001101010100100…
…1011010100001011100
3101012021222122001120100
41203111021122201130
53221412214330134
6120555143421100
710464005332356
oct1432511324134
9335258561510
10106655230044
1141261107a20
1218806754790
13a099570b9c
14523acb20d6
152b9364e999
hex18d525a85c

106655230044 has 36 divisors (see below), whose sum is σ = 294109877880. Its totient is φ = 32319766560.

The previous prime is 106655230027. The next prime is 106655230051. The reversal of 106655230044 is 440032556601.

106655230044 is a `hidden beast` number, since 1 + 0 + 66 + 552 + 3 + 0 + 0 + 44 = 666.

106655230044 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1066552300442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106655229990 and 106655230008.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 134665299 + ... + 134666090.

It is an arithmetic number, because the mean of its divisors is an integer number (8169718830).

Almost surely, 2106655230044 is an apocalyptic number.

It is an amenable number.

106655230044 is an abundant number, since it is smaller than the sum of its proper divisors (187454647836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106655230044 is a wasteful number, since it uses less digits than its factorization.

106655230044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269331410 (or 269331405 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 106655230044 its reverse (440032556601), we get a palindrome (546687786645).

The spelling of 106655230044 in words is "one hundred six billion, six hundred fifty-five million, two hundred thirty thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 269331389 538662778 807994167 1077325556 1615988334 2423982501 2962645279 3231976668 4847965002 5925290558 8887935837 9695930004 11850581116 17775871674 26663807511 35551743348 53327615022 106655230044