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31320000320 = 2657217117497
BaseRepresentation
bin11101001010110100…
…010100011101000000
32222211202002212101212
4131022310110131000
51003120410002240
622215504145252
72156065416200
oct351264243500
988752085355
1031320000320
1112312361894
1260a1008228
132c519b368b
141731894400
15c3496a165
hex74ad14740

31320000320 has 168 divisors, whose sum is σ = 91861346376. Its totient is φ = 10106535936.

The previous prime is 31320000293. The next prime is 31320000391. The reversal of 31320000320 is 2300002313.

It can be written as a sum of positive squares in 4 ways, for example, as 3954900544 + 27365099776 = 62888^2 + 165424^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 31320000295 and 31320000304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207812 + ... + 325308.

Almost surely, 231320000320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31320000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45930673188).

31320000320 is an abundant number, since it is smaller than the sum of its proper divisors (60541346056).

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

31320000320 is a wasteful number, since it uses less digits than its factorization.

31320000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117545 (or 117528 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 31320000320 its reverse (2300002313), we get a palindrome (33620002633).

The spelling of 31320000320 in words is "thirty-one billion, three hundred twenty million, three hundred twenty", and thus it is an aban number.