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1201030020 = 223256672389
BaseRepresentation
bin100011110010110…
…0100001110000100
310002200221122110100
41013211210032010
54424430430040
6315102124100
741522405151
oct10745441604
93080848410
101201030020
11566a4a6a3
12296280630
13161a95268
14b571b228
1570690b30
hex47964384

1201030020 has 36 divisors (see below), whose sum is σ = 3643124940. Its totient is φ = 320274624.

The previous prime is 1201030013. The next prime is 1201030043. The reversal of 1201030020 is 200301021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 777740544 + 423289476 = 27888^2 + 20574^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×12010300203 (a number of 28 digits) contains 333 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 = 1201029984 and 1201030011.

It is an unprimeable number.

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, 3336015 + ... + 3336374.

It is an arithmetic number, because the mean of its divisors is an integer number (101197915).

Almost surely, 21201030020 is an apocalyptic number.

1201030020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201030020 is an abundant number, since it is smaller than the sum of its proper divisors (2442094920).

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

1201030020 is a wasteful number, since it uses less digits than its factorization.

1201030020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6672404 (or 6672399 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1201030020 is about 34655.8800205679. The cubic root of 1201030020 is about 1062.9625265595.

Adding to 1201030020 its reverse (200301021), we get a palindrome (1401331041).

The spelling of 1201030020 in words is "one billion, two hundred one million, thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6672389 13344778 20017167 26689556 33361945 40034334 60051501 66723890 80068668 100085835 120103002 133447780 200171670 240206004 300257505 400343340 600515010 1201030020