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311212121300 = 22523112121213
BaseRepresentation
bin1001000011101011011…
…00000001110011010100
31002202021220111210200222
410201311230001303110
520044330300340200
6354545135453512
731325061245543
oct4416554016324
91082256453628
10311212121300
1110aa91146a53
1250394387298
1323468995802
14110c426c15a
158166b9dd85
hex4875b01cd4

311212121300 has 18 divisors (see below), whose sum is σ = 675330303438. Its totient is φ = 124484848480.

The previous prime is 311212121267. The next prime is 311212121309. The reversal of 311212121300 is 3121212113.

It can be written as a sum of positive squares in 3 ways, for example, as 575328196 + 310636793104 = 23986^2 + 557348^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311212121309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1556060507 + ... + 1556060706.

It is an arithmetic number, because the mean of its divisors is an integer number (37518350191).

Almost surely, 2311212121300 is an apocalyptic number.

It is an amenable number.

311212121300 is an abundant number, since it is smaller than the sum of its proper divisors (364118182138).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311212121300 is a wasteful number, since it uses less digits than its factorization.

311212121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112121227 (or 3112121220 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 311212121300 its reverse (3121212113), we get a palindrome (314333333413).

The spelling of 311212121300 in words is "three hundred eleven billion, two hundred twelve million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3112121213 6224242426 12448484852 15560606065 31121212130 62242424260 77803030325 155606060650 311212121300