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10002030103 = 1319731374049
BaseRepresentation
bin10010101000010101…
…01101111000010111
3221211001120202220101
421110022231320113
5130441004430403
64332254114531
7502600565422
oct112412557027
927731522811
1010002030103
11427298128a
121b317aba47
13c3524b510
146ac5309b9
153d815e71d
hex2542ade17

10002030103 has 32 divisors (see below), whose sum is σ = 11580408000. Its totient is φ = 8561811456.

The previous prime is 10002030067. The next prime is 10002030107. The reversal of 10002030103 is 30103020001.

10002030103 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 10002030103 - 217 = 10001899031 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10002030103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002030107) 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 31 ways as a sum of consecutive naturals, for example, 2468223 + ... + 2472271.

It is an arithmetic number, because the mean of its divisors is an integer number (361887750).

Almost surely, 210002030103 is an apocalyptic number.

10002030103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10002030103 is a deficient number, since it is larger than the sum of its proper divisors (1578377897).

10002030103 is a wasteful number, since it uses less digits than its factorization.

10002030103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291.

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 10002030103 its reverse (30103020001), we get a palindrome (40105050104).

The spelling of 10002030103 in words is "ten billion, two million, thirty thousand, one hundred three".

Divisors: 1 13 19 73 137 247 949 1387 1781 2603 4049 10001 18031 33839 52637 76931 130013 190019 295577 554713 1000103 2470247 3842501 5615963 7211269 10539547 40494049 73007519 137014111 526422637 769386931 10002030103