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310300020 = 223251990731
BaseRepresentation
bin10010011111101…
…100110101110100
3210121212212121100
4102133230311310
51113414100040
650442450100
710455335532
oct2237546564
9717785540
10310300020
1114a179aa8
1287b03930
134c3960a4
142d2d5152
151c395b30
hex127ecd74

310300020 has 72 divisors (see below), whose sum is σ = 990793440. Its totient is φ = 78390720.

The previous prime is 310300007. The next prime is 310300021. The reversal of 310300020 is 20003013.

It is a happy number.

It is a super-2 number, since 2×3103000202 = 192572204824000800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 310299975 and 310300011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310300021) 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 23 ways as a sum of consecutive naturals, for example, 41946 + ... + 48785.

It is an arithmetic number, because the mean of its divisors is an integer number (13761020).

Almost surely, 2310300020 is an apocalyptic number.

310300020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

310300020 is an abundant number, since it is smaller than the sum of its proper divisors (680493420).

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

310300020 is a wasteful number, since it uses less digits than its factorization.

310300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90765 (or 90760 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 310300020 is about 17615.3347967048. The cubic root of 310300020 is about 677.0082087054.

Adding to 310300020 its reverse (20003013), we get a palindrome (330303033).

The spelling of 310300020 in words is "three hundred ten million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 90731 181462 272193 362924 453655 544386 816579 907310 1088772 1360965 1633158 1723889 1814620 2721930 3266316 3447778 4082895 5171667 5443860 6895556 8165790 8619445 10343334 15515001 16331580 17238890 20686668 25858335 31030002 34477780 51716670 62060004 77575005 103433340 155150010 310300020