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10003123013 = 132181327017
BaseRepresentation
bin10010101000011101…
…11000101101000101
3221211010122022002112
421110032320231011
5130441244414023
64332333350405
7502613066642
oct112416705505
927733568075
1010003123013
114273558414
121b32038405
13c35541b00
146ac736dc9
153d82c8478
hex2543b8b45

10003123013 has 12 divisors (see below), whose sum is σ = 10891661508. Its totient is φ = 9182609280.

The previous prime is 10003123007. The next prime is 10003123037. The reversal of 10003123013 is 31032130001.

It can be written as a sum of positive squares in 6 ways, for example, as 4648103329 + 5355019684 = 68177^2 + 73178^2 .

It is not a de Polignac number, because 10003123013 - 28 = 10003122757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003123043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132920 + ... + 194097.

It is an arithmetic number, because the mean of its divisors is an integer number (907638459).

Almost surely, 210003123013 is an apocalyptic number.

10003123013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10003123013 is a deficient number, since it is larger than the sum of its proper divisors (888538495).

10003123013 is a wasteful number, since it uses less digits than its factorization.

10003123013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327224 (or 327211 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10003123013 its reverse (31032130001), we get a palindrome (41035253014).

The spelling of 10003123013 in words is "ten billion, three million, one hundred twenty-three thousand, thirteen".

Divisors: 1 13 169 181 2353 30589 327017 4251221 55265873 59190077 769471001 10003123013