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10000112103 = 3213716349757
BaseRepresentation
bin10010101000000110…
…11001100111100111
3221210220222022220100
421110003121213213
5130440012041403
64332145035143
7502545356532
oct112403314747
927726868810
1010000112103
114271891263
121b31025ab3
13c34a294c7
146ac191a19
153d7dd12a3
hex2540d99e7

10000112103 has 24 divisors (see below), whose sum is σ = 14639599728. Its totient is φ = 6577345152.

The previous prime is 10000112099. The next prime is 10000112117. The reversal of 10000112103 is 30121100001.

10000112103 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10000112103 - 22 = 10000112099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000112173) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 176101 + ... + 225857.

It is an arithmetic number, because the mean of its divisors is an integer number (609983322).

Almost surely, 210000112103 is an apocalyptic number.

10000112103 is a deficient number, since it is larger than the sum of its proper divisors (4639487625).

10000112103 is a wasteful number, since it uses less digits than its factorization.

10000112103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50063 (or 50060 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10000112103 its reverse (30121100001), we get a palindrome (40121212104).

The spelling of 10000112103 in words is "ten billion, one hundred twelve thousand, one hundred three".

Divisors: 1 3 9 137 163 411 489 1233 1467 22331 49757 66993 149271 200979 447813 6816709 8110391 20450127 24331173 61350381 72993519 1111123567 3333370701 10000112103