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200100020 = 225191094831
BaseRepresentation
bin10111110110101…
…00100010110100
3111221112010121212
423323110202310
5402211200040
631504500552
74646551661
oct1373244264
9457463555
10200100020
11a2a5111a
125701a758
13325c09a3
141c80aa68
1512878d65
hexbed48b4

200100020 has 48 divisors (see below), whose sum is σ = 446476800. Its totient is φ = 75116160.

The previous prime is 200100007. The next prime is 200100031. The reversal of 200100020 is 20001002.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 200099977 and 200100013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39005 + ... + 43835.

It is an arithmetic number, because the mean of its divisors is an integer number (9301600).

Almost surely, 2200100020 is an apocalyptic number.

200100020 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 200100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223238400).

200100020 is an abundant number, since it is smaller than the sum of its proper divisors (246376780).

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

200100020 is a wasteful number, since it uses less digits than its factorization.

200100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4968 (or 4966 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 200100020 is about 14145.6714227356. The cubic root of 200100020 is about 584.9010181474.

Adding to 200100020 its reverse (20001002), we get a palindrome (220101022).

The spelling of 200100020 in words is "two hundred million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 109 190 218 380 436 545 1090 2071 2180 4142 4831 8284 9662 10355 19324 20710 24155 41420 48310 91789 96620 183578 367156 458945 526579 917890 1053158 1835780 2106316 2632895 5265790 10005001 10531580 20010002 40020004 50025005 100050010 200100020