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103365525416 = 234125710211201
BaseRepresentation
bin110000001000100010…
…0001011111110101000
3100212210201110202012012
41200101010023332220
53143143033303131
6115252505535052
710316331316646
oct1402104137650
9325721422165
10103365525416
113a92316516a
1218048aa4488
139993b549ba
145008016196
152a4e93252b
hex181110bfa8

103365525416 has 64 divisors (see below), whose sum is σ = 199671287760. Its totient is φ = 50135040000.

The previous prime is 103365525377. The next prime is 103365525421. The reversal of 103365525416 is 614525563301.

103365525416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 23984716900 + 79380808516 = 154870^2 + 281746^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86065616 + ... + 86066816.

Almost surely, 2103365525416 is an apocalyptic number.

It is an amenable number.

103365525416 is a deficient number, since it is larger than the sum of its proper divisors (96305762344).

103365525416 is a wasteful number, since it uses less digits than its factorization.

103365525416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 41.

The spelling of 103365525416 in words is "one hundred three billion, three hundred sixty-five million, five hundred twenty-five thousand, four hundred sixteen".

Divisors: 1 2 4 8 41 82 164 257 328 514 1021 1028 1201 2042 2056 2402 4084 4804 8168 9608 10537 21074 41861 42148 49241 83722 84296 98482 167444 196964 262397 308657 334888 393928 524794 617314 1049588 1226221 1234628 2099176 2452442 2469256 4904884 9809768 10758277 12654937 21516554 25309874 43033108 50275061 50619748 86066216 100550122 101239496 201100244 315138797 402200488 630277594 1260555188 2521110376 12920690677 25841381354 51682762708 103365525416