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105242405223 = 31710971881109
BaseRepresentation
bin110001000000011101…
…1111010100101100111
3101001122112011010021010
41202000323322211213
53211014023431343
6120203033553303
710414001453514
oct1420073724547
9331575133233
10105242405223
11406a66597aa
1218491575833
139c02951b77
1451453c230b
152b0e5c4d33
hex1880efa967

105242405223 has 16 divisors (see below), whose sum is σ = 148713032160. Its totient is φ = 65974219776.

The previous prime is 105242405197. The next prime is 105242405231. The reversal of 105242405223 is 322504242501.

It is not a de Polignac number, because 105242405223 - 210 = 105242404199 is a prime.

It is a super-2 number, since 2×1052424052232 (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 (105242405263) 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, 884608 + ... + 996501.

It is an arithmetic number, because the mean of its divisors is an integer number (9294564510).

Almost surely, 2105242405223 is an apocalyptic number.

105242405223 is a deficient number, since it is larger than the sum of its proper divisors (43470626937).

105242405223 is a wasteful number, since it uses less digits than its factorization.

105242405223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882226.

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 105242405223 its reverse (322504242501), we get a palindrome (427746647724).

The spelling of 105242405223 in words is "one hundred five billion, two hundred forty-two million, four hundred five thousand, two hundred twenty-three".

Divisors: 1 3 17 51 1097 3291 18649 55947 1881109 5643327 31978853 95936559 2063576573 6190729719 35080801741 105242405223