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10000100015 = 5291272572113
BaseRepresentation
bin10010101000000110…
…10110101010101111
3221210220221201022122
421110003112222233
5130440011200030
64332144503155
7502545306353
oct112403265257
927726851278
1010000100015
114271883174
121b3101aabb
13c34a23b59
146ac18b463
153d7dcc8e5
hex2540d6aaf

10000100015 has 32 divisors (see below), whose sum is σ = 12566292480. Its totient is φ = 7629963264.

The previous prime is 10000100003. The next prime is 10000100023. The reversal of 10000100015 is 51000100001.

It is a happy number.

10000100015 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10000100015 - 24 = 10000099999 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000099975 and 10000100011.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 4731599 + ... + 4733711.

It is an arithmetic number, because the mean of its divisors is an integer number (392696640).

Almost surely, 210000100015 is an apocalyptic number.

10000100015 is a deficient number, since it is larger than the sum of its proper divisors (2566192465).

10000100015 is a wasteful number, since it uses less digits than its factorization.

10000100015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531.

The product of its (nonzero) digits is 5, while the sum is 8.

Adding to 10000100015 its reverse (51000100001), we get a palindrome (61000200016).

The spelling of 10000100015 in words is "ten billion, one hundred thousand, fifteen".

Divisors: 1 5 29 127 145 257 635 1285 2113 3683 7453 10565 18415 32639 37265 61277 163195 268351 306385 543041 946531 1341755 2715205 4732655 7782179 15748189 38910895 68966207 78740945 344831035 2000020003 10000100015