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10045141365 = 3572291513121
BaseRepresentation
bin10010101101011110…
…01011000101110101
3221221001201001102210
421112233023011311
5131033024010430
64340434124033
7503633202300
oct112657130565
927831631383
1010045141365
114295247426
121b44120619
13c4116423c
146b4153b37
153dbd282b0
hex256bcb175

10045141365 has 96 divisors (see below), whose sum is σ = 19475285760. Its totient is φ = 4402944000.

The previous prime is 10045141343. The next prime is 10045141427. The reversal of 10045141365 is 56314154001.

It is a happy number.

10045141365 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10045141365 - 28 = 10045141109 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3217005 + ... + 3220125.

It is an arithmetic number, because the mean of its divisors is an integer number (202867560).

Almost surely, 210045141365 is an apocalyptic number.

10045141365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10045141365 is a deficient number, since it is larger than the sum of its proper divisors (9430144395).

10045141365 is a wasteful number, since it uses less digits than its factorization.

10045141365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3323 (or 3316 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 10045141365 its reverse (56314154001), we get a palindrome (66359295366).

The spelling of 10045141365 in words is "ten billion, forty-five million, one hundred forty-one thousand, three hundred sixty-five".

Divisors: 1 3 5 7 15 21 29 35 49 87 105 145 147 151 203 245 435 453 609 735 755 1015 1057 1421 2265 3045 3121 3171 4263 4379 5285 7105 7399 9363 13137 15605 15855 21315 21847 21895 22197 30653 36995 46815 65541 65685 90509 91959 109235 110985 152929 153265 214571 271527 327705 452545 458787 459795 471271 633563 643713 764645 1072855 1357635 1413813 1900689 2293935 2356355 3167815 3218565 3298897 4434941 7069065 9503445 9896691 13304823 13666859 16494485 22174705 23092279 41000577 49483455 66524115 68334295 69276837 95668013 115461395 205002885 287004039 346384185 478340065 669676091 1435020195 2009028273 3348380455 10045141365