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105522632021 = 2953587116959
BaseRepresentation
bin110001001000110100…
…0111001010101010101
3101002101001110010011102
41202101220321111111
53212102243211041
6120250524115445
710423643400332
oct1422150712525
9332331403142
10105522632021
114082a8582a4
121854b395b85
139c48a18841
1451706c9989
152b28eca09b
hex1891a39555

105522632021 has 16 divisors (see below), whose sum is σ = 111411417600. Its totient is φ = 99790436928.

The previous prime is 105522632009. The next prime is 105522632099. The reversal of 105522632021 is 120236225501.

It is a cyclic number.

It is not a de Polignac number, because 105522632021 - 214 = 105522615637 is a prime.

It is a super-2 number, since 2×1055226320212 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105522632321) 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 15 ways as a sum of consecutive naturals, for example, 843740 + ... + 960698.

It is an arithmetic number, because the mean of its divisors is an integer number (6963213600).

Almost surely, 2105522632021 is an apocalyptic number.

It is an amenable number.

105522632021 is a deficient number, since it is larger than the sum of its proper divisors (5888785579).

105522632021 is a wasteful number, since it uses less digits than its factorization.

105522632021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117628.

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 105522632021 its reverse (120236225501), we get a palindrome (225758857522).

The spelling of 105522632021 in words is "one hundred five billion, five hundred twenty-two million, six hundred thirty-two thousand, twenty-one".

Divisors: 1 29 53 587 1537 17023 31111 116959 902219 3391811 6198827 68654933 179765983 1990993057 3638711449 105522632021