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200130020 = 22541614001
BaseRepresentation
bin10111110110110…
…11110111100100
3111221120122202222
423323123313210
5402213130040
631505251512
74650035306
oct1373336744
9457518688
10200130020
11a2a71712
1257033b98
133260153c
141c817976
1512882bb5
hexbedbde4

200130020 has 48 divisors (see below), whose sum is σ = 437690736. Its totient is φ = 76800000.

The previous prime is 200130013. The next prime is 200130023. The reversal of 200130020 is 20031002.

It can be written as a sum of positive squares in 8 ways, for example, as 131836324 + 68293696 = 11482^2 + 8264^2 .

It is not an unprimeable number, because it can be changed into a prime (200130023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48020 + ... + 52020.

It is an arithmetic number, because the mean of its divisors is an integer number (9118557).

Almost surely, 2200130020 is an apocalyptic number.

200130020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218845368).

200130020 is an abundant number, since it is smaller than the sum of its proper divisors (237560716).

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

200130020 is a wasteful number, since it uses less digits than its factorization.

200130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 200130020 is about 14146.7317780468. The cubic root of 200130020 is about 584.9302471195.

Adding to 200130020 its reverse (20031002), we get a palindrome (220161022).

The spelling of 200130020 in words is "two hundred million, one hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 41 61 82 122 164 205 244 305 410 610 820 1220 2501 4001 5002 8002 10004 12505 16004 20005 25010 40010 50020 80020 164041 244061 328082 488122 656164 820205 976244 1220305 1640410 2440610 3280820 4881220 10006501 20013002 40026004 50032505 100065010 200130020