Search a number
-
+
10003123141 = 113072962133
BaseRepresentation
bin10010101000011101…
…11000101111000101
3221211010122022021021
421110032320233011
5130441244420031
64332333351141
7502613100214
oct112416705705
927733568237
1010003123141
114273558520
121b320384b1
13c35541b9b
146ac73707b
153d82c8511
hex2543b8bc5

10003123141 has 8 divisors (see below), whose sum is σ = 10948047264. Its totient is φ = 9064123920.

The previous prime is 10003123139. The next prime is 10003123159. The reversal of 10003123141 is 14132130001.

10003123141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10003123141 - 21 = 10003123139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003123171) 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 7 ways as a sum of consecutive naturals, for example, 1477690 + ... + 1484443.

It is an arithmetic number, because the mean of its divisors is an integer number (1368505908).

Almost surely, 210003123141 is an apocalyptic number.

10003123141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10003123141 is a deficient number, since it is larger than the sum of its proper divisors (944924123).

10003123141 is a wasteful number, since it uses less digits than its factorization.

10003123141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962451.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10003123141 its reverse (14132130001), we get a palindrome (24135253142).

The spelling of 10003123141 in words is "ten billion, three million, one hundred twenty-three thousand, one hundred forty-one".

Divisors: 1 11 307 3377 2962133 32583463 909374831 10003123141