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300131311000031 = 73875018399417
BaseRepresentation
bin100010000111101111100010…
…0001011011001100111011111
31110100200021101002202112102122
41010033133010023121213133
5303314322411104000111
62542154230522413155
7120134525450531000
oct10417370413314737
91410607332675378
10300131311000031
11876a3a7971a355
12297b35609611bb
13cb61351a963c4
14541860c0871a7
1524a7186836cdb
hex110f7c42d99df

300131311000031 has 8 divisors (see below), whose sum is σ = 350007359767200. Its totient is φ = 257255409428304.

The previous prime is 300131311000007. The next prime is 300131311000069. The reversal of 300131311000031 is 130000113131003.

It is not a de Polignac number, because 300131311000031 - 210 = 300131310999007 is a prime.

It is a super-2 number, since 2×3001313110000312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 300131310999973 and 300131311000009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300131311000831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 437509199366 + ... + 437509200051.

It is an arithmetic number, because the mean of its divisors is an integer number (43750919970900).

Almost surely, 2300131311000031 is an apocalyptic number.

300131311000031 is a deficient number, since it is larger than the sum of its proper divisors (49876048767169).

300131311000031 is an frugal number, since it uses more digits than its factorization.

300131311000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875018399438 (or 875018399424 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 300131311000031 its reverse (130000113131003), we get a palindrome (430131424131034).

The spelling of 300131311000031 in words is "three hundred trillion, one hundred thirty-one billion, three hundred eleven million, thirty-one", and thus it is an aban number.

Divisors: 1 7 49 343 875018399417 6125128795919 42875901571433 300131311000031