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105257044451 = 13232125912157
BaseRepresentation
bin110001000000111001…
…1110000100111100011
3101001200112200212111202
41202001303300213203
53211031300410301
6120204315431415
710414240054466
oct1420163604743
9331615625452
10105257044451
1140703948439
121849645556b
139c059a9230
1451473132dd
152b10a1766b
hex1881cf09e3

105257044451 has 24 divisors (see below), whose sum is σ = 118600317360. Its totient is φ = 92854529856.

The previous prime is 105257044447. The next prime is 105257044471. The reversal of 105257044451 is 154440752501.

It is not a de Polignac number, because 105257044451 - 22 = 105257044447 is a prime.

It is a super-2 number, since 2×1052570444512 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105257044441) 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 23 ways as a sum of consecutive naturals, for example, 8652065 + ... + 8664221.

It is an arithmetic number, because the mean of its divisors is an integer number (4941679890).

Almost surely, 2105257044451 is an apocalyptic number.

105257044451 is a deficient number, since it is larger than the sum of its proper divisors (13343272909).

105257044451 is a wasteful number, since it uses less digits than its factorization.

105257044451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13475 (or 13452 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 38.

Adding to 105257044451 its reverse (154440752501), we get a palindrome (259697796952).

The spelling of 105257044451 in words is "one hundred five billion, two hundred fifty-seven million, forty-four thousand, four hundred fifty-one".

Divisors: 1 13 23 299 529 1259 6877 12157 16367 28957 158041 279611 376441 666011 3634943 6431053 8658143 15305663 83603689 198973619 352030249 4576393237 8096695727 105257044451