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10103200030001 = 1312491301478273
BaseRepresentation
bin1001001100000101010110…
…1001100001110100110001
31022202212010101021221222202
42103001111221201310301
52311012323201430001
633253202423512545
72061634500206321
oct223012551416461
938685111257882
1010103200030001
11324581a033011
1211720992b8755
1358395c917330
1426cdd7185281
15127c1a08496b
hex93055a61d31

10103200030001 has 16 divisors (see below), whose sum is σ = 10897473090000. Its totient is φ = 9311381913600.

The previous prime is 10103200029991. The next prime is 10103200030031. The reversal of 10103200030001 is 10003000230101.

It can be written as a sum of positive squares in 8 ways, for example, as 5090867127025 + 5012332902976 = 2256295^2 + 2238824^2 .

It is not a de Polignac number, because 10103200030001 - 234 = 10086020160817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10103200030031) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20885201 + ... + 21363473.

It is an arithmetic number, because the mean of its divisors is an integer number (681092068125).

Almost surely, 210103200030001 is an apocalyptic number.

It is an amenable number.

10103200030001 is a deficient number, since it is larger than the sum of its proper divisors (794273059999).

10103200030001 is a wasteful number, since it uses less digits than its factorization.

10103200030001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480836.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10103200030001 its reverse (10003000230101), we get a palindrome (20106200260102).

The spelling of 10103200030001 in words is "ten trillion, one hundred three billion, two hundred million, thirty thousand, one".

Divisors: 1 13 1249 1301 16237 16913 478273 1624949 6217549 21124337 597362977 622233173 7765718701 8089031249 777169233077 10103200030001