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3101213200320 = 26355227175691
BaseRepresentation
bin101101001000001110101…
…101100000111111000000
3101222110202212202120200000
4231020032231200333000
5401302241034402240
610332402213400000
7440024645156544
oct55101655407700
911873685676600
103101213200320
11a96243004174
12421052039000
1319659b7a6251
14aa157121a24
1555a0a225430
hex2d20eb60fc0

3101213200320 has 336 divisors, whose sum is σ = 11110745213568. Its totient is φ = 823342371840.

The previous prime is 3101213200313. The next prime is 3101213200339. The reversal of 3101213200320 is 230023121013.

3101213200320 is a `hidden beast` number, since 3 + 1 + 0 + 1 + 21 + 320 + 0 + 320 = 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 = 3101213200293 and 3101213200302.

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 47 ways as a sum of consecutive naturals, for example, 17563675 + ... + 17739365.

It is an arithmetic number, because the mean of its divisors is an integer number (33067694088).

Almost surely, 23101213200320 is an apocalyptic number.

3101213200320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3101213200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5555372606784).

3101213200320 is an abundant number, since it is smaller than the sum of its proper divisors (8009532013248).

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

3101213200320 is a wasteful number, since it uses less digits than its factorization.

3101213200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175950 (or 175928 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3101213200320 its reverse (230023121013), we get a palindrome (3331236321333).

The spelling of 3101213200320 in words is "three trillion, one hundred one billion, two hundred thirteen million, two hundred thousand, three hundred twenty".