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10023142013 = 17589596589
BaseRepresentation
bin10010101010110110…
…10000001001111101
3221212112022100222222
421111123100021331
5131011411021023
64334330415125
7503245205243
oct112533201175
927775270888
1010023142013
114283890a45
121b388914a5
13c39730a81
146b1268793
153d9e2ecc8
hex2556d027d

10023142013 has 4 divisors (see below), whose sum is σ = 10612738620. Its totient is φ = 9433545408.

The previous prime is 10023141977. The next prime is 10023142049. The reversal of 10023142013 is 31024132001.

10023142013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (10023141977) and next prime (10023142049).

It can be written as a sum of positive squares in 2 ways, for example, as 3174420964 + 6848721049 = 56342^2 + 82757^2 .

It is a cyclic number.

It is not a de Polignac number, because 10023142013 - 216 = 10023076477 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17), and also a Moran number because the ratio is a prime number: 589596589 = 10023142013 / (1 + 0 + 0 + 2 + 3 + 1 + 4 + 2 + 0 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10023141982 and 10023142000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023142813) 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 3 ways as a sum of consecutive naturals, for example, 294798278 + ... + 294798311.

It is an arithmetic number, because the mean of its divisors is an integer number (2653184655).

Almost surely, 210023142013 is an apocalyptic number.

It is an amenable number.

10023142013 is a deficient number, since it is larger than the sum of its proper divisors (589596607).

10023142013 is an equidigital number, since it uses as much as digits as its factorization.

10023142013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589596606.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10023142013 its reverse (31024132001), we get a palindrome (41047274014).

The spelling of 10023142013 in words is "ten billion, twenty-three million, one hundred forty-two thousand, thirteen".

Divisors: 1 17 589596589 10023142013