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105550504631 = 1113273976831
BaseRepresentation
bin110001001001101001…
…1001110001010110111
3101002102222220012012022
41202103103032022313
53212131412122011
6120253401343355
710424432325515
oct1422323161267
9332388805168
10105550504631
1140844565410
1218558797b5b
139c51727400
1451742a34b5
152b2b6838db
hex18934ce2b7

105550504631 has 24 divisors (see below), whose sum is σ = 124855073280. Its totient is φ = 88452842400.

The previous prime is 105550504627. The next prime is 105550504637. The reversal of 105550504631 is 136405055501.

It is not a de Polignac number, because 105550504631 - 22 = 105550504627 is a prime.

It is a super-2 number, since 2×1055505046312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105550504591 and 105550504600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105550504637) 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, 1335386 + ... + 1412216.

It is an arithmetic number, because the mean of its divisors is an integer number (5202294720).

Almost surely, 2105550504631 is an apocalyptic number.

105550504631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105550504631 is a deficient number, since it is larger than the sum of its proper divisors (19304568649).

105550504631 is a wasteful number, since it uses less digits than its factorization.

105550504631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77607 (or 77594 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 35.

The spelling of 105550504631 in words is "one hundred five billion, five hundred fifty million, five hundred four thousand, six hundred thirty-one".

Divisors: 1 11 13 143 169 739 1859 8129 9607 76831 105677 124891 845141 998803 1373801 10986833 12984439 56778109 142828829 624559199 738115417 8119269587 9595500421 105550504631