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105344423252231 = 17233281929101879
BaseRepresentation
bin10111111100111101101000…
…111011010101000100000111
3111210222211100222112201022012
4113330331220323111010013
5102301430334323032411
61012014320540524435
731121612004222002
oct2774755073250407
9453884328481265
10105344423252231
1130625356669929
12b99455625071b
1346a1c23602b77
141c029a9516539
15c2a3b466518b
hex5fcf68ed5107

105344423252231 has 32 divisors (see below), whose sum is σ = 112540633545600. Its totient is φ = 98263987978240.

The previous prime is 105344423252227. The next prime is 105344423252281. The reversal of 105344423252231 is 132252324443501.

It is a cyclic number.

It is not a de Polignac number, because 105344423252231 - 22 = 105344423252227 is a prime.

It is a super-2 number, since 2×1053444232522312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105344423252281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1033964150 + ... + 1034066028.

It is an arithmetic number, because the mean of its divisors is an integer number (3516894798300).

Almost surely, 2105344423252231 is an apocalyptic number.

105344423252231 is a deficient number, since it is larger than the sum of its proper divisors (7196210293369).

105344423252231 is a wasteful number, since it uses less digits than its factorization.

105344423252231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103339.

The product of its (nonzero) digits is 691200, while the sum is 41.

Adding to 105344423252231 its reverse (132252324443501), we get a palindrome (237596747695732).

The spelling of 105344423252231 in words is "one hundred five trillion, three hundred forty-four billion, four hundred twenty-three million, two hundred fifty-two thousand, two hundred thirty-one".

Divisors: 1 17 233 281 929 3961 4777 15793 65473 101879 216457 261049 1113041 1731943 3679769 4437833 23737807 28627999 60824417 94645591 403542719 486675983 1034015089 1608975047 6670323767 22052422703 26595411071 113395504039 374891185951 452121988207 6196730779543 105344423252231