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1030030020 = 22345635821
BaseRepresentation
bin111101011001010…
…000001011000100
32122210011221120000
4331121100023010
54102141430040
6250113041300
734345052655
oct7531201304
92583157500
101030030020
11489474888
12248b56230
13135522a26
149ab2752c
1560664130
hex3d6502c4

1030030020 has 60 divisors (see below), whose sum is σ = 3231247404. Its totient is φ = 274674240.

The previous prime is 1030030009. The next prime is 1030030021. The reversal of 1030030020 is 200300301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 373030596 + 656999424 = 19314^2 + 25632^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 1030029984 and 1030030011.

It is not an unprimeable number, because it can be changed into a prime (1030030021) 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 19 ways as a sum of consecutive naturals, for example, 316291 + ... + 319530.

Almost surely, 21030030020 is an apocalyptic number.

1030030020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030030020 is an abundant number, since it is smaller than the sum of its proper divisors (2201217384).

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

1030030020 is a wasteful number, since it uses less digits than its factorization.

1030030020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635842 (or 635831 counting only the distinct ones).

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

The square root of 1030030020 is about 32094.0807626578. The cubic root of 1030030020 is about 1009.9114453615.

Adding to 1030030020 its reverse (200300301), we get a palindrome (1230330321).

The spelling of 1030030020 in words is "one billion, thirty million, thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 635821 1271642 1907463 2543284 3179105 3814926 5722389 6358210 7629852 9537315 11444778 12716420 17167167 19074630 22889556 28611945 34334334 38149260 51501501 57223890 68668668 85835835 103003002 114447780 171671670 206006004 257507505 343343340 515015010 1030030020