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105053521223 = 7232271310457
BaseRepresentation
bin110000111010110101…
…1011000010101000111
3101001011100201211010102
41201311223120111013
53210122200134343
6120132205314315
710406216124350
oct1416553302507
9331140654112
10105053521223
1140609a79422
121843a26599b
139ba278a3a1
145128294d27
152aecc143b8
hex1875ad8547

105053521223 has 24 divisors (see below), whose sum is σ = 125566445088. Its totient is φ = 86090856192.

The previous prime is 105053521171. The next prime is 105053521271. The reversal of 105053521223 is 322125350501.

It is not a de Polignac number, because 105053521223 - 26 = 105053521159 is a prime.

It is a super-2 number, since 2×1050535212232 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105053521423) 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 23 ways as a sum of consecutive naturals, for example, 10041011 + ... + 10051467.

It is an arithmetic number, because the mean of its divisors is an integer number (5231935212).

Almost surely, 2105053521223 is an apocalyptic number.

105053521223 is a deficient number, since it is larger than the sum of its proper divisors (20512923865).

105053521223 is a wasteful number, since it uses less digits than its factorization.

105053521223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13223 (or 13200 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

Adding to 105053521223 its reverse (322125350501), we get a palindrome (427178871724).

The spelling of 105053521223 in words is "one hundred five billion, fifty-three million, five hundred twenty-one thousand, two hundred twenty-three".

Divisors: 1 7 23 161 529 2713 3703 10457 18991 62399 73199 240511 436793 1435177 1683577 5531753 10046239 28369841 38722271 198588887 652506343 4567544401 15007645889 105053521223