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300013403220041 = 7233237757554353
BaseRepresentation
bin100010000110111000101000…
…0010100111010100001001001
31110100021000000220110201020012
41010031301100110322201021
5303310404422211020131
62542024131005441305
7120123152545120250
oct10415612024724111
91410230026421205
10300013403220041
1187658a7386a085
1229794735870235
13cb531b11a4954
145412a24963797
1524a40853ad52b
hex110dc5053a849

300013403220041 has 16 divisors (see below), whose sum is σ = 357791015771904. Its totient is φ = 245966120446464.

The previous prime is 300013403219987. The next prime is 300013403220073. The reversal of 300013403220041 is 140022304310003.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-300013403220041 is a prime.

It is a super-2 number, since 2×3000134032200412 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 300013403219989 and 300013403220016.

It is not an unprimeable number, because it can be changed into a prime (300013403220941) 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 15 ways as a sum of consecutive naturals, for example, 23564480 + ... + 33989873.

It is an arithmetic number, because the mean of its divisors is an integer number (22361938485744).

Almost surely, 2300013403220041 is an apocalyptic number.

It is an amenable number.

300013403220041 is a deficient number, since it is larger than the sum of its proper divisors (57777612551863).

300013403220041 is a wasteful number, since it uses less digits than its factorization.

300013403220041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57586760.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 300013403220041 its reverse (140022304310003), we get a palindrome (440035707530044).

The spelling of 300013403220041 in words is "three hundred trillion, thirteen billion, four hundred three million, two hundred twenty thousand, forty-one".

Divisors: 1 7 23 161 32377 226639 744671 5212697 57554353 402880471 1323750119 9266250833 1863437287081 13044061009567 42859057602863 300013403220041