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301231300013 = 7611408350093
BaseRepresentation
bin1000110001000101100…
…10001101110110101101
31001210112022211112211022
410120202302031312231
514413410203100023
6350214520103525
730522535542320
oct4304262156655
91053468745738
10301231300013
1110682a241216
124a469904ba5
1322537c619b7
141081889c7b7
157c8082d7c8
hex4622c8ddad

301231300013 has 16 divisors (see below), whose sum is σ = 349939852416. Its totient is φ = 253942395840.

The previous prime is 301231300001. The next prime is 301231300037. The reversal of 301231300013 is 310003132103.

It is not a de Polignac number, because 301231300013 - 24 = 301231299997 is a prime.

It is a super-2 number, since 2×3012313000132 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 301231299964 and 301231300000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301231300043) 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, 5988395 + ... + 6038487.

It is an arithmetic number, because the mean of its divisors is an integer number (21871240776).

Almost surely, 2301231300013 is an apocalyptic number.

It is an amenable number.

301231300013 is a deficient number, since it is larger than the sum of its proper divisors (48708552403).

301231300013 is a wasteful number, since it uses less digits than its factorization.

301231300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64244.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 301231300013 its reverse (310003132103), we get a palindrome (611234432116).

The spelling of 301231300013 in words is "three hundred one billion, two hundred thirty-one million, three hundred thousand, thirteen".

Divisors: 1 7 61 427 14083 50093 98581 350651 859063 3055673 6013441 21389711 705459719 4938218033 43033042859 301231300013