Search a number
-
+
300124141421003 = 17213117396747387
BaseRepresentation
bin100010000111101100001100…
…0110101101000000111001011
31110100122120212102221011221122
41010033120120311220013023
5303314213220200433003
62542151043245425455
7120134153002235144
oct10417303065500713
91410576772834848
10300124141421003
11876a0a2a680529
12297b209b86b28b
13cb6077b5c7953
14541812bbc6acb
1524a6db71c2238
hex110f618d681cb

300124141421003 has 48 divisors (see below), whose sum is σ = 323448612182784. Its totient is φ = 278399133841920.

The previous prime is 300124141420981. The next prime is 300124141421021.

300124141421003 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 300124141421003 - 212 = 300124141416907 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (300124141421023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6333446276 + ... + 6333493662.

It is an arithmetic number, because the mean of its divisors is an integer number (6738512753808).

Almost surely, 2300124141421003 is an apocalyptic number.

300124141421003 is a deficient number, since it is larger than the sum of its proper divisors (23324470761781).

300124141421003 is a wasteful number, since it uses less digits than its factorization.

300124141421003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48692 (or 48675 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 300124141421003 in words is "three hundred trillion, one hundred twenty-four billion, one hundred forty-one million, four hundred twenty-one thousand, three".

Divisors: 1 17 131 173 289 967 2227 2941 16439 22663 37859 47387 49997 126677 167291 279463 385271 805579 2153509 2843947 6207697 6549607 8197951 13694843 21915121 36609653 45823229 48347099 105530849 139365167 372557057 778994893 1073931581 1794024433 2369207839 6002842999 6333469969 7927418617 13242913181 18256836877 102048330983 134766116489 310366226909 1038491838827 1734821626711 2291023980313 17654361260059 300124141421003