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31300000 = 2555313
BaseRepresentation
bin111011101100…
…1100110100000
32011220012112021
41313121212200
531003100000
63034511224
7530021434
oct167314640
964805467
1031300000
1116739176
12a595514
13663b914
14422a9c4
152b3411a
hex1dd99a0

31300000 has 72 divisors (see below), whose sum is σ = 77268492. Its totient is φ = 12480000.

The previous prime is 31299997. The next prime is 31300007. The reversal of 31300000 is 313.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 13220496 + 18079504 = 3636^2 + 4252^2 .

It is not an unprimeable number, because it can be changed into a prime (31300007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99844 + ... + 100156.

Almost surely, 231300000 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 31300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38634246).

31300000 is an abundant number, since it is smaller than the sum of its proper divisors (45968492).

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

31300000 is an frugal number, since it uses more digits than its factorization.

31300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 7.

The square root of 31300000 is about 5594.6402922797. The cubic root of 31300000 is about 315.1481624322.

Adding to 31300000 its reverse (313), we get a palindrome (31300313).

31300000 divided by its reverse (313) gives a 5-th power (100000 = 105).

The spelling of 31300000 in words is "thirty-one million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 313 400 500 625 626 800 1000 1250 1252 1565 2000 2500 2504 3125 3130 4000 5000 5008 6250 6260 7825 10000 10016 12500 12520 15650 20000 25000 25040 31300 39125 50000 50080 62600 78250 100000 125200 156500 195625 250400 313000 391250 626000 782500 978125 1252000 1565000 1956250 3130000 3912500 6260000 7825000 15650000 31300000