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105525422314 = 213291035713513
BaseRepresentation
bin110001001000111001…
…1100010100011101010
3101002101020200212201121
41202101303202203222
53212104002003224
6120251104005454
710424006201314
oct1422163424352
9332336625647
10105525422314
1140831393724
121855030088a
139c494848c0
145170c147b4
152b2937bbe4
hex1891ce28ea

105525422314 has 32 divisors (see below), whose sum is σ = 176372295120. Its totient is φ = 47016571392.

The previous prime is 105525422293. The next prime is 105525422341. The reversal of 105525422314 is 413224525501.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 35176878025 + 70348544289 = 187555^2 + 265233^2 .

It is a super-2 number, since 2×1055254223142 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105525422314.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7802422 + ... + 7815934.

Almost surely, 2105525422314 is an apocalyptic number.

105525422314 is a deficient number, since it is larger than the sum of its proper divisors (70846872806).

105525422314 is a wasteful number, since it uses less digits than its factorization.

105525422314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23914.

The product of its (nonzero) digits is 48000, while the sum is 34.

Adding to 105525422314 its reverse (413224525501), we get a palindrome (518749947815).

The spelling of 105525422314 in words is "one hundred five billion, five hundred twenty-five million, four hundred twenty-two thousand, three hundred fourteen".

Divisors: 1 2 13 26 29 58 377 754 10357 13513 20714 27026 134641 175669 269282 300353 351338 391877 600706 783754 3904589 5094401 7809178 10188802 139954141 279908282 1819403833 3638807666 4058670089 8117340178 52762711157 105525422314