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313031300022 = 2327237471271607
BaseRepresentation
bin1001000111000100001…
…11101001001110110110
31002220222200121122202200
410203202013221032312
520112042003100042
6355445443045330
731421131101600
oct4434207511666
91086880548680
10313031300022
1111083500a941
1250801670846
132369883c21c
1411217ad8170
158221744c4c
hex48e21e93b6

313031300022 has 288 divisors, whose sum is σ = 834565275648. Its totient is φ = 84445587072.

The previous prime is 313031299991. The next prime is 313031300033. The reversal of 313031300022 is 220003130313.

313031300022 is a `hidden beast` number, since 313 + 0 + 31 + 300 + 0 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 313031299968 and 313031300004.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 194791543 + ... + 194793149.

It is an arithmetic number, because the mean of its divisors is an integer number (2897796096).

Almost surely, 2313031300022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313031300022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417282637824).

313031300022 is an abundant number, since it is smaller than the sum of its proper divisors (521533975626).

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

313031300022 is a wasteful number, since it uses less digits than its factorization.

313031300022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 313031300022 its reverse (220003130313), we get a palindrome (533034430335).

The spelling of 313031300022 in words is "three hundred thirteen billion, thirty-one million, three hundred thousand, twenty-two".