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10030101003 = 321385727359
BaseRepresentation
bin10010101011101011…
…10011001000001011
3221220000101220221100
421111311303020023
5131020201213003
64335135512443
7503361310656
oct112565631013
927800356840
1010030101003
11428780437a
121b3b088723
13c3acc9410
146b215a89d
153da856ba3
hex255d7320b

10030101003 has 12 divisors (see below), whose sum is σ = 15602379520. Its totient is φ = 6172369776.

The previous prime is 10030101001. The next prime is 10030101013. The reversal of 10030101003 is 30010103001.

10030101003 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 10030101003 - 21 = 10030101001 is a prime.

It is a super-2 number, since 2×100301010032 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10030101001) 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 11 ways as a sum of consecutive naturals, for example, 42863563 + ... + 42863796.

Almost surely, 210030101003 is an apocalyptic number.

10030101003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10030101003 is a deficient number, since it is larger than the sum of its proper divisors (5572278517).

10030101003 is a wasteful number, since it uses less digits than its factorization.

10030101003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85727378 (or 85727375 counting only the distinct ones).

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

Adding to 10030101003 its reverse (30010103001), we get a palindrome (40040204004).

The spelling of 10030101003 in words is "ten billion, thirty million, one hundred one thousand, three".

Divisors: 1 3 9 13 39 117 85727359 257182077 771546231 1114455667 3343367001 10030101003