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10103868324 = 223211215232
BaseRepresentation
bin10010110100011110…
…01100101110100100
3222002011012200200100
421122033030232210
5131143042241244
64350332544100
7505245315024
oct113217145644
928064180610
1010103868324
114315408900
121b5b922030
13c50386914
146bbc7da84
153e2078b69
hex25a3ccba4

10103868324 has 81 divisors (see below), whose sum is σ = 28091704459. Its totient is φ = 3059767920.

The previous prime is 10103868311. The next prime is 10103868367. The reversal of 10103868324 is 42386830101.

The square root of 10103868324 is 100518.

It is a perfect power (a square), and thus also a powerful number.

10103868324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 6633427 + ... + 6634949.

Almost surely, 210103868324 is an apocalyptic number.

10103868324 is the 100518-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10103868324

10103868324 is an abundant number, since it is smaller than the sum of its proper divisors (17987836135).

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

10103868324 is a wasteful number, since it uses less digits than its factorization.

10103868324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 10103868324 by its sum of digits (36), we get a square (363739259664 = 6031082).

10103868324 divided by its sum of digits (36) gives a square (280663009 = 167532).

The spelling of 10103868324 in words is "ten billion, one hundred three million, eight hundred sixty-eight thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 1523 2178 3046 4356 4569 6092 9138 13707 16753 18276 27414 33506 50259 54828 67012 100518 150777 184283 201036 301554 368566 552849 603108 737132 1105698 1658547 2211396 2319529 3317094 4639058 6634188 6958587 9278116 13917174 20875761 25514819 27834348 41751522 51029638 76544457 83503044 102059276 153088914 229633371 280663009 306177828 459266742 561326018 841989027 918533484 1122652036 1683978054 2525967081 3367956108 5051934162 10103868324