Search a number
-
+
300223300013 = 71313736765617
BaseRepresentation
bin1000101111001101011…
…01000000000110101101
31001200221002002211202222
410113212231000012231
514404324131100023
6345530511125125
730455545641650
oct4274655000655
91050832084688
10300223300013
1110636225396a
124a2282137a5
13224071833b0
1410760a6b897
157c220bbcc8
hex45e6b401ad

300223300013 has 32 divisors (see below), whose sum is σ = 373222585344. Its totient is φ = 235159345152.

The previous prime is 300223300009. The next prime is 300223300037. The reversal of 300223300013 is 310003322003.

It is a cyclic number.

It is not a de Polignac number, because 300223300013 - 22 = 300223300009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 300223299964 and 300223300000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300223300093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4542581 + ... + 4608197.

It is an arithmetic number, because the mean of its divisors is an integer number (11663205792).

Almost surely, 2300223300013 is an apocalyptic number.

It is an amenable number.

300223300013 is a deficient number, since it is larger than the sum of its proper divisors (72999285331).

300223300013 is a wasteful number, since it uses less digits than its factorization.

300223300013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66141.

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 300223300013 its reverse (310003322003), we get a palindrome (610226622016).

The spelling of 300223300013 in words is "three hundred billion, two hundred twenty-three million, three hundred thousand, thirteen".

Divisors: 1 7 13 91 137 367 959 1781 2569 4771 12467 33397 50279 65617 351953 459319 653627 853021 4575389 5971147 8989529 24081439 62926703 116863877 168570073 313058707 818047139 2191410949 3299157143 23094100001 42889042859 300223300013