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31100320000 = 2854194377
BaseRepresentation
bin11100111101101110…
…010011100100000000
32222021102201221122201
4130331232103210000
51002143140220000
622142015442544
72150460233611
oct347556234400
988242657581
1031100320000
111220a357802
12603b526454
132c18328619
14171062bc08
15c2052496a
hex73db93900

31100320000 has 90 divisors (see below), whose sum is σ = 77574510398. Its totient is φ = 12440064000.

The previous prime is 31100319961. The next prime is 31100320001. The reversal of 31100320000 is 2300113.

It can be written as a sum of positive squares in 5 ways, for example, as 22832418816 + 8267901184 = 151104^2 + 90928^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (31100320001) 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 9 ways as a sum of consecutive naturals, for example, 62812 + ... + 257188.

Almost surely, 231100320000 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 31100320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38787255199).

31100320000 is an abundant number, since it is smaller than the sum of its proper divisors (46474190398).

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

31100320000 is an frugal number, since it uses more digits than its factorization.

31100320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194413 (or 194384 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 31100320000 its reverse (2300113), we get a palindrome (31102620113).

The spelling of 31100320000 in words is "thirty-one billion, one hundred million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 8000 10000 16000 20000 32000 40000 80000 160000 194377 388754 777508 971885 1555016 1943770 3110032 3887540 4859425 6220064 7775080 9718850 12440128 15550160 19437700 24297125 24880256 31100320 38875400 48594250 49760512 62200640 77750800 97188500 121485625 124401280 155501600 194377000 242971250 248802560 311003200 388754000 485942500 622006400 777508000 971885000 1244012800 1555016000 1943770000 3110032000 3887540000 6220064000 7775080000 15550160000 31100320000