Search a number
-
+
300241142003 = 114127114511693
BaseRepresentation
bin1000101111001111100…
…01000100000011110011
31001200222022200022101102
410113213301010003303
514404343213021003
6345532345355015
730456153412265
oct4274761040363
91050868608342
10300241142003
1110637132a910
124a232198a6b
132240aa8c49a
1410763193b35
157c23943588
hex45e7c440f3

300241142003 has 32 divisors (see below), whose sum is σ = 337193708544. Its totient is φ = 264967200000.

The previous prime is 300241141997. The next prime is 300241142027.

300241142003 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 300241142003 - 24 = 300241141987 is a prime.

It is a super-2 number, since 2×3002411420032 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (300241142093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177341825 + ... + 177343517.

It is an arithmetic number, because the mean of its divisors is an integer number (10537303392).

Almost surely, 2300241142003 is an apocalyptic number.

300241142003 is a deficient number, since it is larger than the sum of its proper divisors (36952566541).

300241142003 is a wasteful number, since it uses less digits than its factorization.

300241142003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3467.

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 300241 and 142003, that added together give a palindrome (442244).

The spelling of 300241142003 in words is "three hundred billion, two hundred forty-one million, one hundred forty-two thousand, three".

Divisors: 1 11 41 271 451 1451 1693 2981 11111 15961 18623 59491 69413 122221 393221 458803 654401 763543 2456543 4325431 5046833 16122061 18810923 27021973 100718263 177342671 206920153 665723153 1107900893 7322954683 27294649273 300241142003