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105313441452 = 22319835565073
BaseRepresentation
bin110001000010100101…
…0111001011010101100
3101001211110211010122120
41202011022321122230
53211140220111302
6120214052312540
710415523324312
oct1420512713254
9331743733576
10105313441452
114073276832a
12184b1312750
139c1459423b
1451509d40b2
152b159579bc
hex18852b96ac

105313441452 has 48 divisors (see below), whose sum is σ = 261781080960. Its totient is φ = 32856185088.

The previous prime is 105313441439. The next prime is 105313441481. The reversal of 105313441452 is 254144313501.

It is a super-2 number, since 2×1053134414522 (a number of 23 digits) contains 22 as substring.

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, 2763613 + ... + 2801460.

It is an arithmetic number, because the mean of its divisors is an integer number (5453772520).

Almost surely, 2105313441452 is an apocalyptic number.

105313441452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105313441452 is an abundant number, since it is smaller than the sum of its proper divisors (156467639508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105313441452 is a wasteful number, since it uses less digits than its factorization.

105313441452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5565182 (or 5565180 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 105313441452 its reverse (254144313501), we get a palindrome (359457754953).

The spelling of 105313441452 in words is "one hundred five billion, three hundred thirteen million, four hundred forty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 83 114 166 228 249 332 498 996 1577 3154 4731 6308 9462 18924 5565073 11130146 16695219 22260292 33390438 66780876 105736387 211472774 317209161 422945548 461901059 634418322 923802118 1268836644 1385703177 1847604236 2771406354 5542812708 8776120121 17552240242 26328360363 35104480484 52656720726 105313441452